Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832a |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-52120073143488 = -1 · 26 · 3 · 710 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1758,-347916] |
[a1,a2,a3,a4,a6] |
Generators |
[440:9158:1] |
Generators of the group modulo torsion |
j |
-9393931000000/814376142867 |
j-invariant |
L |
3.2599562858182 |
L(r)(E,1)/r! |
Ω |
0.27909418095157 |
Real period |
R |
5.840244097357 |
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 |
20832bg1 41664bf2 62496be1 |
Quadratic twists by: -4 8 -3 |