Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13888i |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-407753457664 = -1 · 228 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 2 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1343,23745] |
[a1,a2,a3,a4,a6] |
j |
1021147343/1555456 |
j-invariant |
L |
5.1467865849071 |
L(r)(E,1)/r! |
Ω |
0.64334832311338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13888q1 434d1 124992cu1 97216bc1 |
Quadratic twists by: -4 8 -3 -7 |