Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550cg |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5585943135937500 = 22 · 312 · 58 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81563,-8219883] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:655:1] |
Generators of the group modulo torsion |
j |
3840463067149801/357500360700 |
j-invariant |
L |
9.6385933477994 |
L(r)(E,1)/r! |
Ω |
0.28419012114586 |
Real period |
R |
1.413166842461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650r2 6510e2 |
Quadratic twists by: -3 5 |