Atkin-Lehner |
5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69575c |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-657701171875 = -1 · 59 · 114 · 23 |
Discriminant |
Eigenvalues |
0 0 5+ 0 11- 4 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6050,185281] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:4121:8] [-11:500:1] |
Generators of the group modulo torsion |
j |
-107053056/2875 |
j-invariant |
L |
8.9323261613035 |
L(r)(E,1)/r! |
Ω |
0.90703873414102 |
Real period |
R |
1.6412981836853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915k1 69575d1 |
Quadratic twists by: 5 -11 |