Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620w |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
1166400 |
Modular degree for the optimal curve |
Δ |
-496798988654304000 = -1 · 28 · 312 · 53 · 74 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-356981,-88942281] |
[a1,a2,a3,a4,a6] |
j |
-8185177630572544/808255330875 |
j-invariant |
L |
3.4961077585407 |
L(r)(E,1)/r! |
Ω |
0.097114104632739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67620q1 |
Quadratic twists by: -7 |