Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400br |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-3870720000 = -1 · 215 · 33 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,392,112] |
[a1,a2,a3,a4,a6] |
Generators |
[12:80:1] |
Generators of the group modulo torsion |
j |
2595575/1512 |
j-invariant |
L |
3.2139711002501 |
L(r)(E,1)/r! |
Ω |
0.84208110390824 |
Real period |
R |
0.31805834827286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1050j1 33600hd1 25200fh1 8400cj1 |
Quadratic twists by: -4 8 -3 5 |