Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912cv |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
33880743493632 = 214 · 34 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8248,65876] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:588:1] |
Generators of the group modulo torsion |
j |
128787625/70308 |
j-invariant |
L |
9.2822861216122 |
L(r)(E,1)/r! |
Ω |
0.5701433774825 |
Real period |
R |
2.0350771594743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114b1 10416x1 |
Quadratic twists by: -4 -7 |