Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304j |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-5632092928 = -1 · 28 · 76 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-980,-12348] |
[a1,a2,a3,a4,a6] |
Generators |
[74:566:1] |
Generators of the group modulo torsion |
j |
-3456000/187 |
j-invariant |
L |
6.2229259091692 |
L(r)(E,1)/r! |
Ω |
0.42530358051706 |
Real period |
R |
3.6579317660703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1496b1 |
Quadratic twists by: -7 |