Atkin-Lehner |
7+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11137c |
Isogeny class |
Conductor |
11137 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-56341047259 = -1 · 77 · 37 · 432 |
Discriminant |
Eigenvalues |
-2 0 3 7+ 3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,529,-10416] |
[a1,a2,a3,a4,a6] |
j |
16371585036288/56341047259 |
j-invariant |
L |
1.137511827786 |
L(r)(E,1)/r! |
Ω |
0.568755913893 |
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 |
100233i1 77959d1 |
Quadratic twists by: -3 -7 |