Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11024d |
Isogeny class |
Conductor |
11024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
-74786816 = -1 · 211 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ -1 1 -3 4 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,-416] |
[a1,a2,a3,a4,a6] |
Generators |
[36:212:1] |
Generators of the group modulo torsion |
j |
-2/36517 |
j-invariant |
L |
3.5801411472223 |
L(r)(E,1)/r! |
Ω |
0.88832170973473 |
Real period |
R |
0.50377879826491 |
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 |
5512d1 44096m1 99216n1 |
Quadratic twists by: -4 8 -3 |