Atkin-Lehner |
3+ 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11505c |
Isogeny class |
Conductor |
11505 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
-6109155 = -1 · 33 · 5 · 13 · 592 |
Discriminant |
Eigenvalues |
0 3+ 5- 5 3 13- -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-65,-214] |
[a1,a2,a3,a4,a6] |
j |
-30840979456/6109155 |
j-invariant |
L |
1.6615039238513 |
L(r)(E,1)/r! |
Ω |
0.83075196192566 |
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 |
34515e1 57525h1 |
Quadratic twists by: -3 5 |