Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286bc |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
-255758174999082 = -1 · 2 · 39 · 710 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 5 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,769558] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:878:1] |
Generators of the group modulo torsion |
j |
-49/1242 |
j-invariant |
L |
5.4038230526033 |
L(r)(E,1)/r! |
Ω |
0.44185210688673 |
Real period |
R |
3.0574840361622 |
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 |
6762be1 20286p1 |
Quadratic twists by: -3 -7 |