Atkin-Lehner |
2- 3+ 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99540c |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-60192385470000 = -1 · 24 · 39 · 54 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,648,373221] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3950:1] |
Generators of the group modulo torsion |
j |
95551488/191130625 |
j-invariant |
L |
7.4414854143855 |
L(r)(E,1)/r! |
Ω |
0.48938994479724 |
Real period |
R |
1.9007045146757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540a1 |
Quadratic twists by: -3 |