Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162u |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
-772514348482926 = -1 · 2 · 32 · 7 · 1910 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2715,1337223] |
[a1,a2,a3,a4,a6] |
j |
-361/126 |
j-invariant |
L |
3.2795643329855 |
L(r)(E,1)/r! |
Ω |
0.40994554162319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296cp1 45486r1 106134cu1 15162m1 |
Quadratic twists by: -4 -3 -7 -19 |