Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826m |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-819836316 = -1 · 22 · 311 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 3 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111276,-14259524] |
[a1,a2,a3,a4,a6] |
Generators |
[2006:87494:1] |
Generators of the group modulo torsion |
j |
-209027245050714817/1124604 |
j-invariant |
L |
3.2675933091113 |
L(r)(E,1)/r! |
Ω |
0.1306980173372 |
Real period |
R |
6.2502732935131 |
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 |
6942i1 |
Quadratic twists by: -3 |