Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162s |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
42573323185092 = 22 · 35 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33039,-2303823] |
[a1,a2,a3,a4,a6] |
Generators |
[3270:56433:8] |
Generators of the group modulo torsion |
j |
84778086457/904932 |
j-invariant |
L |
4.7165741258625 |
L(r)(E,1)/r! |
Ω |
0.35434214043014 |
Real period |
R |
6.6553954324159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296dj1 45486k1 106134cz1 798c1 |
Quadratic twists by: -4 -3 -7 -19 |