Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658be |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
392864599806 = 2 · 3 · 77 · 433 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -4 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9821,372579] |
[a1,a2,a3,a4,a6] |
Generators |
[294:1839:8] |
Generators of the group modulo torsion |
j |
1317614126347/4941258 |
j-invariant |
L |
10.210820860862 |
L(r)(E,1)/r! |
Ω |
0.95361436351326 |
Real period |
R |
5.3537474111911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658g1 |
Quadratic twists by: -43 |