Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560h |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
680967118125000000 = 26 · 33 · 510 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220353,-2962148] |
[a1,a2,a3,a4,a6] |
j |
5820343774272/3349609375 |
j-invariant |
L |
0.95902447630267 |
L(r)(E,1)/r! |
Ω |
0.23975611729388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560ci1 70560cp1 10080h1 |
Quadratic twists by: -4 -3 -7 |