Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62658q |
Isogeny class |
Conductor |
62658 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-613258407936 = -1 · 212 · 36 · 593 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -6 -6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1471,30417] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-244:1] |
Generators of the group modulo torsion |
j |
2352637/4096 |
j-invariant |
L |
6.8807985499182 |
L(r)(E,1)/r! |
Ω |
0.6269284598655 |
Real period |
R |
0.45730886044786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962a1 62658c1 |
Quadratic twists by: -3 -59 |