Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650y |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4546560 |
Modular degree for the optimal curve |
Δ |
-6.0381603037184E+22 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11+ 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1496201,-11843622452] |
[a1,a2,a3,a4,a6] |
Generators |
[10760056704:366470211547:3581577] |
Generators of the group modulo torsion |
j |
-142490208642391/23227183136768 |
j-invariant |
L |
5.8816074880831 |
L(r)(E,1)/r! |
Ω |
0.049378944440704 |
Real period |
R |
14.88895609936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650cv1 78650ct1 |
Quadratic twists by: 5 -11 |