Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088bx |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-100590336 = -1 · 28 · 36 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,1132] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
5.1500491145556 |
L(r)(E,1)/r! |
Ω |
1.8337864073472 |
Real period |
R |
0.70210591237911 |
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 |
2772g1 44352ei1 1232g1 77616ge1 |
Quadratic twists by: -4 8 -3 -7 |