Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400l |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-689192043750000 = -1 · 24 · 38 · 58 · 75 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15792,-1011213] |
[a1,a2,a3,a4,a6] |
j |
69683121920/110270727 |
j-invariant |
L |
1.6130411669989 |
L(r)(E,1)/r! |
Ω |
0.26884019449981 |
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 |
4200bf1 33600hb1 25200cb1 8400z1 |
Quadratic twists by: -4 8 -3 5 |