Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330fa |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-5.0182613342988E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1945903,-265143679] |
[a1,a2,a3,a4,a6] |
j |
27699861384593/17058600000 |
j-invariant |
L |
5.7366347346705 |
L(r)(E,1)/r! |
Ω |
0.095610578921195 |
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 |
19110x1 57330dp1 |
Quadratic twists by: -3 -7 |