Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944ct |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
4964554384384 = 210 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ -3 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41617,3252199] |
[a1,a2,a3,a4,a6] |
Generators |
[114:49:1] |
Generators of the group modulo torsion |
j |
1350399232/841 |
j-invariant |
L |
5.2564890083735 |
L(r)(E,1)/r! |
Ω |
0.76016412404628 |
Real period |
R |
1.1524899335496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944i1 22736b1 90944ec1 |
Quadratic twists by: -4 8 -7 |