Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gh |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-573906124800000000 = -1 · 221 · 36 · 58 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -1 0 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109875,39051250] |
[a1,a2,a3,a4,a6] |
Generators |
[489:10112:1] |
Generators of the group modulo torsion |
j |
-125768785/492032 |
j-invariant |
L |
7.2961111256309 |
L(r)(E,1)/r! |
Ω |
0.2539182316378 |
Real period |
R |
3.591762133084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950be1 12400bc1 111600eq1 |
Quadratic twists by: -4 -3 5 |