Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560di |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
2500940088360000 = 26 · 312 · 54 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99813,-11896612] |
[a1,a2,a3,a4,a6] |
j |
20034997696/455625 |
j-invariant |
L |
1.0758806061952 |
L(r)(E,1)/r! |
Ω |
0.26897015096137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70560bb1 23520l1 1440n1 |
Quadratic twists by: -4 -3 -7 |