Atkin-Lehner |
2- 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050ci |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-94350960000000 = -1 · 210 · 33 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14255,808247] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:1150:1] [49:-500:1] |
Generators of the group modulo torsion |
j |
-759299343867/223646720 |
j-invariant |
L |
14.974697509235 |
L(r)(E,1)/r! |
Ω |
0.56969444386147 |
Real period |
R |
0.32856862286924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050e1 18810a1 |
Quadratic twists by: -3 5 |