Atkin-Lehner |
3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2535c |
Isogeny class |
Conductor |
2535 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5616 |
Modular degree for the optimal curve |
Δ |
-35790185383875 = -1 · 33 · 53 · 139 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 -3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5859,228386] |
[a1,a2,a3,a4,a6] |
j |
2097152/3375 |
j-invariant |
L |
0.8892445123389 |
L(r)(E,1)/r! |
Ω |
0.44462225616945 |
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 |
40560co1 7605u1 12675bd1 124215dd1 |
Quadratic twists by: -4 -3 5 -7 |