Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162k |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
48573533771277312 = 210 · 3 · 72 · 199 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127802,14018156] |
[a1,a2,a3,a4,a6] |
Generators |
[692:15687:1] |
Generators of the group modulo torsion |
j |
4906933498657/1032471552 |
j-invariant |
L |
3.8262943298168 |
L(r)(E,1)/r! |
Ω |
0.33783051780379 |
Real period |
R |
5.6630383108833 |
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 |
121296ci1 45486bg1 106134n1 798g1 |
Quadratic twists by: -4 -3 -7 -19 |