Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360v |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
342974209600 = 26 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4477,-111804] |
[a1,a2,a3,a4,a6] |
j |
87528384/3025 |
j-invariant |
L |
2.3395574091719 |
L(r)(E,1)/r! |
Ω |
0.58488935229298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19360g1 38720e2 96800d1 1760f1 |
Quadratic twists by: -4 8 5 -11 |