Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
10146i |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
5194752 = 210 · 3 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-95,-379] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] |
Generators of the group modulo torsion |
j |
94881210481/5194752 |
j-invariant |
L |
4.4829635021505 |
L(r)(E,1)/r! |
Ω |
1.5343473761653 |
Real period |
R |
1.1686958434027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168cu1 30438a1 |
Quadratic twists by: -4 -3 |