Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550cq |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
363 |
Product of Tamagawa factors cp |
deg |
34848 |
Modular degree for the optimal curve |
Δ |
-17459608320000 = -1 · 211 · 311 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5337,134217] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:189:1] |
Generators of the group modulo torsion |
j |
26898633480575/27935373312 |
j-invariant |
L |
8.0711053997133 |
L(r)(E,1)/r! |
Ω |
0.45741186295897 |
Real period |
R |
0.048609255547326 |
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 |
92400fk1 34650bq1 11550j1 80850fg1 |
Quadratic twists by: -4 -3 5 -7 |