Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550ch |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
30576 |
Product of Tamagawa factors cp |
deg |
648700416 |
Modular degree for the optimal curve |
Δ |
-7.5983316803716E+34 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,105862920912,-352340772542208] |
[a1,a2,a3,a4,a6] |
Generators |
[179082:-156131316:1] |
Generators of the group modulo torsion |
j |
8397215602029973870221522833066951/4862932275437849045190583664640 |
j-invariant |
L |
12.943491143734 |
L(r)(E,1)/r! |
Ω |
0.0064777628974528 |
Real period |
R |
0.065350018296444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110c1 |
Quadratic twists by: 5 |