Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200be |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
1295360000000 = 216 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11075,445250] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:800:1] |
Generators of the group modulo torsion |
j |
2347334289/20240 |
j-invariant |
L |
3.4949263489701 |
L(r)(E,1)/r! |
Ω |
0.86369419923899 |
Real period |
R |
1.0116214597455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12650i1 20240h1 |
Quadratic twists by: -4 5 |