Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162w |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
8344371344278032 = 24 · 35 · 74 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58309,3146555] |
[a1,a2,a3,a4,a6] |
j |
466025146777/177366672 |
j-invariant |
L |
1.5097828913934 |
L(r)(E,1)/r! |
Ω |
0.37744572284835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121296cs1 45486t1 106134da1 798d1 |
Quadratic twists by: -4 -3 -7 -19 |