Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
56232o |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
734742607104 = 28 · 36 · 11 · 713 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13644,612036] |
[a1,a2,a3,a4,a6] |
Generators |
[144:-1278:1] |
Generators of the group modulo torsion |
j |
1505155433472/3937021 |
j-invariant |
L |
4.3494382212123 |
L(r)(E,1)/r! |
Ω |
0.90370017134266 |
Real period |
R |
0.20053840676447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464c1 6248a1 |
Quadratic twists by: -4 -3 |