Atkin-Lehner |
2+ 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600d |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1603250000 = 24 · 56 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-350,1625] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:25:1] [4:17:1] |
Generators of the group modulo torsion |
j |
18966528/6413 |
j-invariant |
L |
9.9532566183832 |
L(r)(E,1)/r! |
Ω |
1.38190992526 |
Real period |
R |
3.6012682287241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4664c1 |
Quadratic twists by: 5 |