Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ca |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4451328 |
Modular degree for the optimal curve |
Δ |
-1.2555226634292E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2621892,-1720700660] |
[a1,a2,a3,a4,a6] |
Generators |
[60952840:21028850865:512] |
Generators of the group modulo torsion |
j |
-37811178496/2381643 |
j-invariant |
L |
3.2051171189655 |
L(r)(E,1)/r! |
Ω |
0.059106646807056 |
Real period |
R |
13.556500391339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808cr1 25872ba1 77616bf1 |
Quadratic twists by: -4 -3 -7 |