Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680k |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31088640 |
Modular degree for the optimal curve |
Δ |
4291835520000000000 = 216 · 3 · 510 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-742183841,7782679771041] |
[a1,a2,a3,a4,a6] |
j |
689887483592546451769875364/65488212890625 |
j-invariant |
L |
2.2086427746627 |
L(r)(E,1)/r! |
Ω |
0.13804024036482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fm1 15960p1 |
Quadratic twists by: -4 8 |