Atkin-Lehner |
2- 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910ct |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
979372357024320 = 26 · 33 · 5 · 79 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54195,4612257] |
[a1,a2,a3,a4,a6] |
j |
149628263143969/8324527680 |
j-invariant |
L |
8.7736061003829 |
L(r)(E,1)/r! |
Ω |
0.48742256067211 |
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 |
11130w1 |
Quadratic twists by: -7 |