Atkin-Lehner |
2+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124930a |
Isogeny class |
Conductor |
124930 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-409370624000 = -1 · 218 · 53 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1833,42373] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:263:1] [63:395:1] |
Generators of the group modulo torsion |
j |
-709345587289/425984000 |
j-invariant |
L |
7.3373649424101 |
L(r)(E,1)/r! |
Ω |
0.8762048441009 |
Real period |
R |
4.1870145944425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124930b2 |
Quadratic twists by: -31 |