Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400x |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-9843750000 = -1 · 24 · 32 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7708,257963] |
[a1,a2,a3,a4,a6] |
j |
-324179200/63 |
j-invariant |
L |
2.5063415731052 |
L(r)(E,1)/r! |
Ω |
1.2531707865526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4200f1 33600et1 25200bj1 8400q1 |
Quadratic twists by: -4 8 -3 5 |