Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312y |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1320463761408 = 217 · 32 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3634488,-2668150188] |
[a1,a2,a3,a4,a6] |
Generators |
[8646:782496:1] |
Generators of the group modulo torsion |
j |
1296264422595159069625/322378848 |
j-invariant |
L |
6.2772417453147 |
L(r)(E,1)/r! |
Ω |
0.10934243342067 |
Real period |
R |
4.7840848462159 |
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 |
1914b2 61248bg2 45936bf2 |
Quadratic twists by: -4 8 -3 |