Atkin-Lehner |
2+ 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62658b |
Isogeny class |
Conductor |
62658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-1197770328 = -1 · 23 · 36 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -3 -3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-387,3469] |
[a1,a2,a3,a4,a6] |
Generators |
[15:22:1] [5:38:1] |
Generators of the group modulo torsion |
j |
-42875/8 |
j-invariant |
L |
7.6182555038441 |
L(r)(E,1)/r! |
Ω |
1.4772476033776 |
Real period |
R |
1.2892651655724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962i1 62658p1 |
Quadratic twists by: -3 -59 |