Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gp |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-357876575578368 = -1 · 28 · 311 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15729,501914] |
[a1,a2,a3,a4,a6] |
Generators |
[130:2178:1] |
Generators of the group modulo torsion |
j |
47061251888/39135393 |
j-invariant |
L |
5.0222013470813 |
L(r)(E,1)/r! |
Ω |
0.34810549391415 |
Real period |
R |
1.4427239543254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404t1 25872bl1 77616eq1 |
Quadratic twists by: -4 -3 -7 |