Atkin-Lehner |
2+ 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280h |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5772656484000000 = 28 · 38 · 56 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95996,10816704] |
[a1,a2,a3,a4,a6] |
Generators |
[19:3000:1] |
Generators of the group modulo torsion |
j |
382162159240682704/22549439390625 |
j-invariant |
L |
7.701564486475 |
L(r)(E,1)/r! |
Ω |
0.41993172254832 |
Real period |
R |
2.2925049695535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999397 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112560d2 |
Quadratic twists by: -4 |