Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2535f |
Isogeny class |
Conductor |
2535 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6979086149855625 = 34 · 54 · 1310 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-87884,-9194443] |
[a1,a2,a3,a4,a6] |
j |
15551989015681/1445900625 |
j-invariant |
L |
2.2314748752379 |
L(r)(E,1)/r! |
Ω |
0.27893435940474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40560bg4 7605p3 12675e3 124215bd4 |
Quadratic twists by: -4 -3 5 -7 |