Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15936l |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-65273856 = -1 · 218 · 3 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 3 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,191] |
[a1,a2,a3,a4,a6] |
Generators |
[19:96:1] |
Generators of the group modulo torsion |
j |
357911/249 |
j-invariant |
L |
5.7329771179437 |
L(r)(E,1)/r! |
Ω |
1.2396027280763 |
Real period |
R |
1.1562125889398 |
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 |
15936o1 249b1 47808k1 |
Quadratic twists by: -4 8 -3 |