Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456r |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6676992 = 29 · 34 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139104,19922760] |
[a1,a2,a3,a4,a6] |
Generators |
[219:102:1] |
Generators of the group modulo torsion |
j |
581400938887066376/13041 |
j-invariant |
L |
4.6889285845502 |
L(r)(E,1)/r! |
Ω |
1.2365346447546 |
Real period |
R |
1.895995637664 |
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 |
15456o2 30912bh4 46368p4 108192bg4 |
Quadratic twists by: -4 8 -3 -7 |