Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3332f |
Isogeny class |
Conductor |
3332 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1229332283648 = -1 · 28 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3 -4 7- 1 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16807,840350] |
[a1,a2,a3,a4,a6] |
j |
-7260624/17 |
j-invariant |
L |
2.5955554694579 |
L(r)(E,1)/r! |
Ω |
0.86518515648597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13328ba1 53312bg1 29988bj1 83300q1 |
Quadratic twists by: -4 8 -3 5 |