Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736bm |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
3800986950544 = 24 · 710 · 292 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 1 -2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5602,133211] |
[a1,a2,a3,a4,a6] |
j |
4302592/841 |
j-invariant |
L |
1.4906469463923 |
L(r)(E,1)/r! |
Ω |
0.74532347319618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684j1 90944dd1 22736r1 |
Quadratic twists by: -4 8 -7 |