Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400v |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
29531250000 = 24 · 33 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1783,27188] |
[a1,a2,a3,a4,a6] |
j |
2508888064/118125 |
j-invariant |
L |
3.4925037569884 |
L(r)(E,1)/r! |
Ω |
1.1641679189961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4200e1 33600es1 25200bg1 1680c1 |
Quadratic twists by: -4 8 -3 5 |