Atkin-Lehner |
3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241a |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63840 |
Modular degree for the optimal curve |
Δ |
90605377317 = 3 · 78 · 132 · 31 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 1 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8003,277871] |
[a1,a2,a3,a4,a6] |
Generators |
[33:220:1] [362:633:8] |
Generators of the group modulo torsion |
j |
9834496000/15717 |
j-invariant |
L |
7.2459591776073 |
L(r)(E,1)/r! |
Ω |
1.0722045273846 |
Real period |
R |
1.1263334859068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59241w1 |
Quadratic twists by: -7 |