Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20832ba |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-2666496 = -1 · 212 · 3 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 4 5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35,-11] |
[a1,a2,a3,a4,a6] |
j |
1124864/651 |
j-invariant |
L |
3.0594218890434 |
L(r)(E,1)/r! |
Ω |
1.5297109445217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20832k1 41664ca1 62496t1 |
Quadratic twists by: -4 8 -3 |