Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856bv |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-8965443206052864 = -1 · 210 · 324 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109956,-14754728] |
[a1,a2,a3,a4,a6] |
Generators |
[1030510956055297:25022253254176071:1356204441509] |
Generators of the group modulo torsion |
j |
-196948657599232/12010035159 |
j-invariant |
L |
6.3707100996338 |
L(r)(E,1)/r! |
Ω |
0.13062726105844 |
Real period |
R |
24.385071110018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856bf1 4464v1 5952bd1 |
Quadratic twists by: -4 8 -3 |