Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71656h |
Isogeny class |
Conductor |
71656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
2820169348048 = 24 · 137 · 532 |
Discriminant |
Eigenvalues |
2- 0 4 -4 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3718,-32955] |
[a1,a2,a3,a4,a6] |
Generators |
[390:7605:1] |
Generators of the group modulo torsion |
j |
73598976/36517 |
j-invariant |
L |
6.4067977707931 |
L(r)(E,1)/r! |
Ω |
0.64344327629077 |
Real period |
R |
2.4892628484453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5512c1 |
Quadratic twists by: 13 |