Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560cf |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
-2.772450988032E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,537760,-202646412] |
[a1,a2,a3,a4,a6] |
Generators |
[756:25230:1] |
Generators of the group modulo torsion |
j |
4198831454347316639/6768679170000000 |
j-invariant |
L |
8.0746077310757 |
L(r)(E,1)/r! |
Ω |
0.11100468584075 |
Real period |
R |
1.0391591863247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570v1 |
Quadratic twists by: -4 |