Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gx |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-5404043547648000 = -1 · 213 · 311 · 53 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -1 0 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6405,-3531350] |
[a1,a2,a3,a4,a6] |
Generators |
[215:2790:1] |
Generators of the group modulo torsion |
j |
77854483/14478426 |
j-invariant |
L |
4.3436301484846 |
L(r)(E,1)/r! |
Ω |
0.20232969497169 |
Real period |
R |
0.89450335177843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999560022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950cu1 37200eb1 111600gv1 |
Quadratic twists by: -4 -3 5 |