Atkin-Lehner |
2+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162l |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
38787771492224 = 27 · 237 · 89 |
Discriminant |
Eigenvalues |
2+ -2 -3 0 -4 3 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66930,6652292] |
[a1,a2,a3,a4,a6] |
Generators |
[136:196:1] |
Generators of the group modulo torsion |
j |
223980311017/262016 |
j-invariant |
L |
1.5418605225016 |
L(r)(E,1)/r! |
Ω |
0.64524739768214 |
Real period |
R |
1.194782445005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999716574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094c1 |
Quadratic twists by: -23 |