Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6300x |
Isogeny class |
Conductor |
6300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1435218750000 = -1 · 24 · 38 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,53125] |
[a1,a2,a3,a4,a6] |
j |
16384/63 |
j-invariant |
L |
1.2134732460432 |
L(r)(E,1)/r! |
Ω |
0.60673662302159 |
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 |
25200fs1 100800gz1 2100p1 6300bf1 |
Quadratic twists by: -4 8 -3 5 |