Atkin-Lehner |
2+ 13- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11362g |
Isogeny class |
Conductor |
11362 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
28884241524736 = 211 · 132 · 193 · 233 |
Discriminant |
Eigenvalues |
2+ 1 3 -4 -3 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-513897,141752172] |
[a1,a2,a3,a4,a6] |
j |
15008964986671598124937/28884241524736 |
j-invariant |
L |
1.1390642831458 |
L(r)(E,1)/r! |
Ω |
0.56953214157289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90896r1 102258bc1 |
Quadratic twists by: -4 -3 |