Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600f |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8331264 |
Modular degree for the optimal curve |
Δ |
8875000000000000000 = 215 · 518 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -2 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161089633,-786900572863] |
[a1,a2,a3,a4,a6] |
Generators |
[-6283031245:16803208:857375] |
Generators of the group modulo torsion |
j |
902935088231125590152/17333984375 |
j-invariant |
L |
4.3270430070834 |
L(r)(E,1)/r! |
Ω |
0.042377238919934 |
Real period |
R |
12.76346429524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600v1 56800j1 22720k1 |
Quadratic twists by: -4 8 5 |