Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200ci |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3430000000000 = -1 · 210 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 1 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2500,-75000] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1099:1] |
Generators of the group modulo torsion |
j |
172800/343 |
j-invariant |
L |
4.4603318561861 |
L(r)(E,1)/r! |
Ω |
0.41335624309905 |
Real period |
R |
3.5968424578484 |
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 |
11200a1 2800f1 100800nd1 11200cv1 |
Quadratic twists by: -4 8 -3 5 |