Atkin-Lehner |
2- 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12236c |
Isogeny class |
Conductor |
12236 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-13696537904 = -1 · 24 · 7 · 19 · 235 |
Discriminant |
Eigenvalues |
2- 3 3 7+ 6 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1756,28877] |
[a1,a2,a3,a4,a6] |
j |
-37426331860992/856033619 |
j-invariant |
L |
6.2726370096587 |
L(r)(E,1)/r! |
Ω |
1.2545274019317 |
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 |
48944v1 110124h1 85652f1 |
Quadratic twists by: -4 -3 -7 |