Atkin-Lehner |
2- 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306s |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
79631389616504832 = 220 · 33 · 19 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-186219,27713625] |
[a1,a2,a3,a4,a6] |
j |
4824238966273/537919488 |
j-invariant |
L |
3.320206199775 |
L(r)(E,1)/r! |
Ω |
0.33202062010902 |
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 |
114c1 |
Quadratic twists by: -23 |