Atkin-Lehner |
3- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
35997c |
Isogeny class |
Conductor |
35997 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
2.5568451947012E+20 |
Discriminant |
Eigenvalues |
1 3- -2 -2 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58966977,-174288775061] |
[a1,a2,a3,a4,a6] |
j |
2138258082056087629/24110946729 |
j-invariant |
L |
0.76273850122898 |
L(r)(E,1)/r! |
Ω |
0.054481321518373 |
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 |
107991d2 35997b2 |
Quadratic twists by: -3 13 |