Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620l |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-859185941040 = -1 · 24 · 34 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,915,43002] |
[a1,a2,a3,a4,a6] |
j |
917504/9315 |
j-invariant |
L |
1.3074999146264 |
L(r)(E,1)/r! |
Ω |
0.65374995631663 |
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 |
67620bg1 |
Quadratic twists by: -7 |