Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600dc |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
7.7970014208E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 5 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3100833,1615190463] |
[a1,a2,a3,a4,a6] |
j |
1288009359025/304570368 |
j-invariant |
L |
4.1971240944976 |
L(r)(E,1)/r! |
Ω |
0.14989728930312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ft1 2550c1 81600ci1 |
Quadratic twists by: -4 8 5 |