Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832o |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-8688485568 = -1 · 26 · 3 · 72 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2238,40260] |
[a1,a2,a3,a4,a6] |
Generators |
[26:18:1] |
Generators of the group modulo torsion |
j |
-19378404856000/135757587 |
j-invariant |
L |
6.5517603710808 |
L(r)(E,1)/r! |
Ω |
1.3111529575871 |
Real period |
R |
2.4984729406163 |
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 |
20832w1 41664o2 62496bq1 |
Quadratic twists by: -4 8 -3 |