Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770y |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21561750000 = 24 · 32 · 56 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9333331,10974186545] |
[a1,a2,a3,a4,a6] |
j |
89915325165584559422632369/21561750000 |
j-invariant |
L |
3.9554999818653 |
L(r)(E,1)/r! |
Ω |
0.49443749773316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160bf2 23310v2 38850f2 54390bz2 |
Quadratic twists by: -4 -3 5 -7 |