Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cr |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5209312500000000 = 28 · 35 · 512 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-219508,-39505012] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:300:1] |
Generators of the group modulo torsion |
j |
852555455152/3796875 |
j-invariant |
L |
8.0227323673757 |
L(r)(E,1)/r! |
Ω |
0.22062421555378 |
Real period |
R |
1.8181894374325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400d2 11760k2 58800q2 |
Quadratic twists by: -4 5 -7 |