Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120a |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3406293737280000 = 29 · 32 · 54 · 72 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48536,3025236] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:1734:1] [-84:2550:1] |
Generators of the group modulo torsion |
j |
24697593872812232/6652917455625 |
j-invariant |
L |
7.8517771240456 |
L(r)(E,1)/r! |
Ω |
0.41631169376694 |
Real period |
R |
0.78584720310966 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120s2 114240kd2 |
Quadratic twists by: -4 8 |