Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968y |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-134742528 = -1 · 29 · 36 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 3 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171,1026] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:26:1] |
Generators of the group modulo torsion |
j |
-4104 |
j-invariant |
L |
5.4782242823002 |
L(r)(E,1)/r! |
Ω |
1.7588009617784 |
Real period |
R |
3.1147494269981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968cf1 11552u1 103968bn1 |
Quadratic twists by: -4 -3 -19 |