Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bm |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-2927965487104 = -1 · 214 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 0 2 7- -6 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,-82320] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3760:1] |
Generators of the group modulo torsion |
j |
432/1519 |
j-invariant |
L |
6.2694955729459 |
L(r)(E,1)/r! |
Ω |
0.37213049512443 |
Real period |
R |
4.211893173263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216r1 24304b1 13888o1 |
Quadratic twists by: -4 8 -7 |