Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550en |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-4.957220532285E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-393755,-1075331253] |
[a1,a2,a3,a4,a6] |
j |
-592725168252001/43520180256000 |
j-invariant |
L |
4.6716699667843 |
L(r)(E,1)/r! |
Ω |
0.07299484530658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850h1 23310m1 |
Quadratic twists by: -3 5 |