Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560ci |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[-448:3430:1] |
Generators of the group modulo torsion |
j |
5820343774272/3349609375 |
j-invariant |
L |
6.0581308989209 |
L(r)(E,1)/r! |
Ω |
0.24451644126054 |
Real period |
R |
3.0969956803545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560h1 70560r1 10080bj1 |
Quadratic twists by: -4 -3 -7 |