Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1518i |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
687630974976 = 225 · 34 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61909,-5933920] |
[a1,a2,a3,a4,a6] |
j |
26240674555395219529/687630974976 |
j-invariant |
L |
1.2106611939804 |
L(r)(E,1)/r! |
Ω |
0.30266529849511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12144n1 48576j1 4554x1 37950ca1 |
Quadratic twists by: -4 8 -3 5 |