Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640x |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-69730825154560 = -1 · 212 · 5 · 237 |
Discriminant |
Eigenvalues |
2- -2 5- 5 2 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9875,140283] |
[a1,a2,a3,a4,a6] |
j |
175616/115 |
j-invariant |
L |
3.0865739935582 |
L(r)(E,1)/r! |
Ω |
0.38582176430458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84640v1 3680i1 |
Quadratic twists by: -4 -23 |