Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20832i |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
10124352 = 26 · 36 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54,0] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4:1] |
Generators of the group modulo torsion |
j |
277167808/158193 |
j-invariant |
L |
3.8874039633785 |
L(r)(E,1)/r! |
Ω |
1.9033843108355 |
Real period |
R |
2.0423641937408 |
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 |
20832l1 41664ek1 62496ca1 |
Quadratic twists by: -4 8 -3 |