Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616n |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1486848 = -1 · 212 · 3 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 11- -6 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,75] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
-5632/3 |
j-invariant |
L |
5.1732203778038 |
L(r)(E,1)/r! |
Ω |
2.498306910997 |
Real period |
R |
1.0353452482224 |
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 |
11616v1 23232o1 34848cc1 11616bd1 |
Quadratic twists by: -4 8 -3 -11 |