Atkin-Lehner |
3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6783b |
Isogeny class |
Conductor |
6783 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
214804064349 = 36 · 7 · 17 · 195 |
Discriminant |
Eigenvalues |
0 3+ 1 7- 0 5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1615,-10740] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:94:1] |
Generators of the group modulo torsion |
j |
466133351366656/214804064349 |
j-invariant |
L |
3.2394416214965 |
L(r)(E,1)/r! |
Ω |
0.78696876397611 |
Real period |
R |
2.058176747149 |
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 |
108528bh1 20349h1 47481q1 115311m1 |
Quadratic twists by: -4 -3 -7 17 |