Atkin-Lehner |
2- 3- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61596c |
Isogeny class |
Conductor |
61596 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
7.6158230034776E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -2 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3224280,2188508132] |
[a1,a2,a3,a4,a6] |
Generators |
[-1412:62658:1] [-656:63414:1] |
Generators of the group modulo torsion |
j |
19863440171938816000/408083794339293 |
j-invariant |
L |
9.5300205395582 |
L(r)(E,1)/r! |
Ω |
0.1934947326644 |
Real period |
R |
1.6417364283984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20532c1 |
Quadratic twists by: -3 |