Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840z |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1.4361448251875E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-675825,-281248277] |
[a1,a2,a3,a4,a6] |
j |
-75271580947456/31666652875 |
j-invariant |
L |
0.97892302845535 |
L(r)(E,1)/r! |
Ω |
0.081576808392336 |
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 |
62920n1 11440g1 |
Quadratic twists by: -4 -11 |