Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770be |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
5346754560 = 216 · 32 · 5 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1785,28665] |
[a1,a2,a3,a4,a6] |
j |
629004249876241/5346754560 |
j-invariant |
L |
5.459173066085 |
L(r)(E,1)/r! |
Ω |
1.3647932665213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62160bt1 23310p1 38850c1 54390bq1 |
Quadratic twists by: -4 -3 5 -7 |