Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cs |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-173211369683927040 = -1 · 214 · 33 · 5 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105976,-24061996] |
[a1,a2,a3,a4,a6] |
j |
-217081801/285660 |
j-invariant |
L |
6.0544340520456 |
L(r)(E,1)/r! |
Ω |
0.12613401811388 |
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 |
15870d1 5520bg1 |
Quadratic twists by: -4 -23 |