Atkin-Lehner |
3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13617b |
Isogeny class |
Conductor |
13617 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-40851 = -1 · 33 · 17 · 89 |
Discriminant |
Eigenvalues |
0 3+ -2 -3 3 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [1:2:1] |
Generators of the group modulo torsion |
j |
-884736/1513 |
j-invariant |
L |
4.8753056955477 |
L(r)(E,1)/r! |
Ω |
3.2437966538537 |
Real period |
R |
0.75148139908159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13617a1 |
Quadratic twists by: -3 |