Atkin-Lehner |
2- 13+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11362j |
Isogeny class |
Conductor |
11362 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
218406363136 = 213 · 132 · 193 · 23 |
Discriminant |
Eigenvalues |
2- -1 -1 -4 -3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12021,501787] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:328:1] [-49:1012:1] |
Generators of the group modulo torsion |
j |
192109022223211729/218406363136 |
j-invariant |
L |
6.6505087935258 |
L(r)(E,1)/r! |
Ω |
0.99323556893696 |
Real period |
R |
0.085843616476181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90896g1 102258i1 |
Quadratic twists by: -4 -3 |