Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100920bj |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1559040 |
Modular degree for the optimal curve |
Δ |
52225725513128400 = 24 · 32 · 52 · 299 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 6 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113815,-9837800] |
[a1,a2,a3,a4,a6] |
j |
702464/225 |
j-invariant |
L |
4.2642335289038 |
L(r)(E,1)/r! |
Ω |
0.26651460195324 |
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 |
100920u1 |
Quadratic twists by: 29 |