Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
11352q |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-47866934016 = -1 · 28 · 33 · 115 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,468,9936] |
[a1,a2,a3,a4,a6] |
Generators |
[78:726:1] |
Generators of the group modulo torsion |
j |
44186845232/186980211 |
j-invariant |
L |
3.8685300583541 |
L(r)(E,1)/r! |
Ω |
0.80852443868319 |
Real period |
R |
0.079744653207485 |
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 |
22704c1 90816g1 34056h1 124872q1 |
Quadratic twists by: -4 8 -3 -11 |