Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600br |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-4118667750000 = -1 · 24 · 312 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21675,1232125] |
[a1,a2,a3,a4,a6] |
Generators |
[44:603:1] |
Generators of the group modulo torsion |
j |
-6179217664/22599 |
j-invariant |
L |
5.3283145013793 |
L(r)(E,1)/r! |
Ω |
0.78395580150857 |
Real period |
R |
3.3983513377766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800bu1 37200y1 4464g1 |
Quadratic twists by: -4 -3 5 |