Atkin-Lehner |
2- 3- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bq |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
Δ |
4.426145087326E+27 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-935218589,-10532363069275] |
[a1,a2,a3,a4,a6] |
Generators |
[-15317:453388:1] |
Generators of the group modulo torsion |
j |
124089654404312719593958407817/6071529612244224193615872 |
j-invariant |
L |
10.909496141018 |
L(r)(E,1)/r! |
Ω |
0.027383418962269 |
Real period |
R |
3.0181657793041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142l3 |
Quadratic twists by: -3 |