Atkin-Lehner |
2- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11968s |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-3458752 = -1 · 26 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 2 2 -5 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107,473] |
[a1,a2,a3,a4,a6] |
Generators |
[16:51:1] |
Generators of the group modulo torsion |
j |
-2136719872/54043 |
j-invariant |
L |
6.3830440526741 |
L(r)(E,1)/r! |
Ω |
2.4994099983424 |
Real period |
R |
0.85127344145316 |
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 |
11968v1 5984c1 107712er1 |
Quadratic twists by: -4 8 -3 |