Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275k |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-3.0558666492651E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30800817,-70959406784] |
[a1,a2,a3,a4,a6] |
Generators |
[8933584:204490708:1331] |
Generators of the group modulo torsion |
j |
-283702311983803333321/26827910226744375 |
j-invariant |
L |
5.3572769865481 |
L(r)(E,1)/r! |
Ω |
0.031871344716197 |
Real period |
R |
7.003779615204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19425e1 11655j1 |
Quadratic twists by: -3 5 |