Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bm |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
391974912 = 212 · 32 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-688,-6656] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:8:1] [-14:6:1] |
Generators of the group modulo torsion |
j |
25672375/279 |
j-invariant |
L |
8.9976499542171 |
L(r)(E,1)/r! |
Ω |
0.93268503845163 |
Real period |
R |
2.4117600216995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4557k1 72912cc1 |
Quadratic twists by: -4 -7 |