Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gx |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-731566080000 = -1 · 215 · 36 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-41200] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3269:1] |
Generators of the group modulo torsion |
j |
-200/49 |
j-invariant |
L |
7.2845773123375 |
L(r)(E,1)/r! |
Ω |
0.40266330169392 |
Real period |
R |
4.5227472142602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800ie1 50400bu1 11200bg1 100800fg1 |
Quadratic twists by: -4 8 -3 5 |