Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ca |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-7340908512214152000 = -1 · 26 · 326 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,364353,-99131564] |
[a1,a2,a3,a4,a6] |
j |
114652428754998464/157341146095125 |
j-invariant |
L |
3.0038625417263 |
L(r)(E,1)/r! |
Ω |
0.1251609392215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bn1 27360v2 18240bf1 |
Quadratic twists by: -4 8 -3 |