Atkin-Lehner |
5- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20615g |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-123723499375 = -1 · 54 · 72 · 194 · 31 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2977,65504] |
[a1,a2,a3,a4,a6] |
Generators |
[17:131:1] |
Generators of the group modulo torsion |
j |
-2916912780383841/123723499375 |
j-invariant |
L |
3.1449835702201 |
L(r)(E,1)/r! |
Ω |
1.0362778297098 |
Real period |
R |
1.5174422727449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103075l1 |
Quadratic twists by: 5 |