Atkin-Lehner |
2- 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624t |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
102218365280452608 = 220 · 39 · 113 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11+ 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44576163,-114551856990] |
[a1,a2,a3,a4,a6] |
j |
121501186819203686643/1267878656 |
j-invariant |
L |
5.8428385615681 |
L(r)(E,1)/r! |
Ω |
0.058428385264062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12078d1 96624bb1 |
Quadratic twists by: -4 -3 |