Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41760g |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-76698925608960 = -1 · 212 · 317 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 3 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-245928,46943728] |
[a1,a2,a3,a4,a6] |
Generators |
[356:2124:1] |
Generators of the group modulo torsion |
j |
-550884013682176/25686315 |
j-invariant |
L |
6.9673827068876 |
L(r)(E,1)/r! |
Ω |
0.57599339970042 |
Real period |
R |
3.0240722855988 |
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 |
41760bb1 83520ck1 13920bf1 |
Quadratic twists by: -4 8 -3 |