Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960f |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
617844145996800 = 210 · 33 · 52 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174363,27998438] |
[a1,a2,a3,a4,a6] |
j |
450714348/475 |
j-invariant |
L |
4.0941417793126 |
L(r)(E,1)/r! |
Ω |
0.51176769184206 |
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 |
129960bu1 6840k1 |
Quadratic twists by: -3 -19 |