Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700cf |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2113536 |
Modular degree for the optimal curve |
Δ |
61085487698802000 = 24 · 314 · 53 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4816920,-4069119175] |
[a1,a2,a3,a4,a6] |
j |
8477630598115622912/41896767969 |
j-invariant |
L |
2.445786332698 |
L(r)(E,1)/r! |
Ω |
0.10190777629713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39900n1 119700bt1 |
Quadratic twists by: -3 5 |