Atkin-Lehner |
2+ 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522c |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
10116288 |
Modular degree for the optimal curve |
Δ |
-5498955311030272 = -1 · 213 · 78 · 133 · 53 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -6 13- -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-265245894,1662617133332] |
[a1,a2,a3,a4,a6] |
Generators |
[12514711:-6248756:1331] |
Generators of the group modulo torsion |
j |
-358001959591264716336553/953884672 |
j-invariant |
L |
6.9032281818804 |
L(r)(E,1)/r! |
Ω |
0.19980832550687 |
Real period |
R |
3.8388057733195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67522i1 |
Quadratic twists by: -7 |