Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760y |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-76566193920 = -1 · 28 · 33 · 5 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,284,13280] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:114:1] |
Generators of the group modulo torsion |
j |
9860720816/299086695 |
j-invariant |
L |
6.7203457025074 |
L(r)(E,1)/r! |
Ω |
0.81939799013846 |
Real period |
R |
0.68346373225501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520e1 116280w1 |
Quadratic twists by: -4 -3 |