Atkin-Lehner |
2- 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17748f |
Isogeny class |
Conductor |
17748 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-67072105728 = -1 · 28 · 312 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3495,-80498] |
[a1,a2,a3,a4,a6] |
Generators |
[36806:302940:343] |
Generators of the group modulo torsion |
j |
-25298674000/359397 |
j-invariant |
L |
4.8054088364469 |
L(r)(E,1)/r! |
Ω |
0.31019933978155 |
Real period |
R |
7.745678697819 |
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 |
70992bh1 5916a1 |
Quadratic twists by: -4 -3 |