Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312h |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1290623735808 = 211 · 34 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2992,-32332] |
[a1,a2,a3,a4,a6] |
Generators |
[62:156:1] |
Generators of the group modulo torsion |
j |
1446850541666/630187371 |
j-invariant |
L |
6.6182074504884 |
L(r)(E,1)/r! |
Ω |
0.67170487587218 |
Real period |
R |
2.4632125239135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7656f3 61248bv3 45936o3 |
Quadratic twists by: -4 8 -3 |