Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620bc |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40608 |
Modular degree for the optimal curve |
Δ |
-324576000 = -1 · 28 · 32 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1381,19319] |
[a1,a2,a3,a4,a6] |
j |
-23237165056/25875 |
j-invariant |
L |
3.4170076448586 |
L(r)(E,1)/r! |
Ω |
1.7085038262011 |
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 |
67620h1 |
Quadratic twists by: -7 |