Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950cs |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-125448750 = -1 · 2 · 35 · 54 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,567] |
[a1,a2,a3,a4,a6] |
j |
-44289025/200718 |
j-invariant |
L |
8.0715496098227 |
L(r)(E,1)/r! |
Ω |
1.6143099224788 |
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 |
61950c1 |
Quadratic twists by: 5 |