Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200cg |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-21512960000000 = -1 · 214 · 57 · 75 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -5 -3 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3200,-212000] |
[a1,a2,a3,a4,a6] |
j |
14155776/84035 |
j-invariant |
L |
0.68067577737335 |
L(r)(E,1)/r! |
Ω |
0.34033788868668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200y1 2800q1 100800mk1 2240bb1 |
Quadratic twists by: -4 8 -3 5 |