Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600ct |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-2476800 = -1 · 28 · 32 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 -3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,63] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
327680/387 |
j-invariant |
L |
7.8662377767749 |
L(r)(E,1)/r! |
Ω |
1.7198074198704 |
Real period |
R |
1.1434765436287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900f1 51600cm1 |
Quadratic twists by: -4 5 |