Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400cu |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
190008018000 = 24 · 36 · 53 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 0 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5430,152575] |
[a1,a2,a3,a4,a6] |
j |
12144109568/130321 |
j-invariant |
L |
4.0510856351224 |
L(r)(E,1)/r! |
Ω |
1.0127714075088 |
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 |
34200bj1 7600i1 68400cw1 |
Quadratic twists by: -4 -3 5 |