Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120bp |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-1.2512E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 1 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-490684801,-4183781564801] |
[a1,a2,a3,a4,a6] |
Generators |
[172535888396147903198242515134744527181049300399516301697847007898572988695422229170874380964800023090448984713671012939946252098424688311743629462271261086613923:64699023482521726101324858098835060071674786570386065204767771035813224772634920647007102992196404969708543871329983536497328348016586707032915131600494491387791572:1196345631316329288224964517982595443408263922153738154251049470731150061415751452041027247978697739243516570844794087743877114217135300886011683189183718599] |
Generators of the group modulo torsion |
j |
-49841557909700385914920801/47729492187500 |
j-invariant |
L |
8.0469086190372 |
L(r)(E,1)/r! |
Ω |
0.016038690521924 |
Real period |
R |
250.85927707244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120f1 31280x1 |
Quadratic twists by: -4 8 |