Atkin-Lehner |
2- 3- 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582bg |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
1.0638046663732E+24 |
Discriminant |
Eigenvalues |
2- 3- 4 4 4 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34454633,-59966559831] |
[a1,a2,a3,a4,a6] |
j |
6204961010497754063662921/1459265660319887327232 |
j-invariant |
L |
10.139803179854 |
L(r)(E,1)/r! |
Ω |
0.063373769943419 |
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 |
25194b1 |
Quadratic twists by: -3 |