Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550bm |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
-1.2299266077399E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118692,-1687364784] |
[a1,a2,a3,a4,a6] |
Generators |
[1624:48188:1] |
Generators of the group modulo torsion |
j |
-16234636151161/107977095878400 |
j-invariant |
L |
4.6801153971919 |
L(r)(E,1)/r! |
Ω |
0.06978374692926 |
Real period |
R |
1.6766495076192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850cc1 10710y1 |
Quadratic twists by: -3 5 |