Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912cw |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3704535551701942272 = 224 · 32 · 77 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3355928,-2365591404] |
[a1,a2,a3,a4,a6] |
Generators |
[-1076:882:1] |
Generators of the group modulo torsion |
j |
8673882953919625/7687507968 |
j-invariant |
L |
6.1381084226756 |
L(r)(E,1)/r! |
Ω |
0.11154997894462 |
Real period |
R |
2.2927347903207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114a3 10416p3 |
Quadratic twists by: -4 -7 |