Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600o |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
19525536000 = 28 · 39 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1215,-14850] |
[a1,a2,a3,a4,a6] |
Generators |
[49:208:1] |
Generators of the group modulo torsion |
j |
314928/31 |
j-invariant |
L |
5.7566909240521 |
L(r)(E,1)/r! |
Ω |
0.81376155226737 |
Real period |
R |
3.537087067078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800bj1 111600p1 111600n1 |
Quadratic twists by: -4 -3 5 |