Atkin-Lehner |
2+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31046f |
Isogeny class |
Conductor |
31046 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-85438592 = -1 · 27 · 192 · 432 |
Discriminant |
Eigenvalues |
2+ -3 2 0 3 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1,445] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] [3:-23:1] |
Generators of the group modulo torsion |
j |
-513/236672 |
j-invariant |
L |
4.5823589002714 |
L(r)(E,1)/r! |
Ω |
1.5257540298446 |
Real period |
R |
1.5016702596346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31046h1 |
Quadratic twists by: -19 |