Atkin-Lehner |
2- 13- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11362l |
Isogeny class |
Conductor |
11362 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
213287464 = 23 · 132 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 2 3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1417,20401] |
[a1,a2,a3,a4,a6] |
j |
314667882960913/213287464 |
j-invariant |
L |
3.5182798202681 |
L(r)(E,1)/r! |
Ω |
1.759139910134 |
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 |
90896t1 102258p1 |
Quadratic twists by: -4 -3 |