Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
7832c |
Isogeny class |
Conductor |
7832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
333580544 = 28 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191,-510] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:20:1] [-3:6:1] |
Generators of the group modulo torsion |
j |
3010120272/1303049 |
j-invariant |
L |
4.7032108034145 |
L(r)(E,1)/r! |
Ω |
1.3357981200094 |
Real period |
R |
3.5208994031091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15664a1 62656a1 70488b1 86152a1 |
Quadratic twists by: -4 8 -3 -11 |