Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456v |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-2132928 = -1 · 26 · 32 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6,72] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
314432/33327 |
j-invariant |
L |
5.3778188923052 |
L(r)(E,1)/r! |
Ω |
2.0002132685555 |
Real period |
R |
1.3443113734039 |
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 |
15456b1 30912o1 46368t1 108192bl1 |
Quadratic twists by: -4 8 -3 -7 |