Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720df |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
30056400 = 24 · 33 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-1350] |
[a1,a2,a3,a4,a6] |
j |
79082438656/1878525 |
j-invariant |
L |
3.702055681642 |
L(r)(E,1)/r! |
Ω |
1.2340185602153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180g1 |
Quadratic twists by: -4 |