Atkin-Lehner |
2+ 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450g |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-2189536920000000 = -1 · 29 · 312 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 1 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-311150,66712500] |
[a1,a2,a3,a4,a6] |
j |
-213213786511688929/140130362880 |
j-invariant |
L |
1.8318900762348 |
L(r)(E,1)/r! |
Ω |
0.45797251905869 |
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 |
123600bv1 46350cb1 3090i1 |
Quadratic twists by: -4 -3 5 |