Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15264m |
Isogeny class |
Conductor |
15264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
-158257152 = -1 · 212 · 36 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 6 -3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,-6912] |
[a1,a2,a3,a4,a6] |
Generators |
[903:2357:27] |
Generators of the group modulo torsion |
j |
-11852352/53 |
j-invariant |
L |
5.6744008938262 |
L(r)(E,1)/r! |
Ω |
0.4666479263527 |
Real period |
R |
6.079959401274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15264l1 30528bv1 1696d1 |
Quadratic twists by: -4 8 -3 |