Atkin-Lehner |
2- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6970f |
Isogeny class |
Conductor |
6970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
19413401600 = 216 · 52 · 172 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -6 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6086,182116] |
[a1,a2,a3,a4,a6] |
Generators |
[1196:40682:1] [-54:622:1] |
Generators of the group modulo torsion |
j |
24930099747662689/19413401600 |
j-invariant |
L |
5.1553147961086 |
L(r)(E,1)/r! |
Ω |
1.2100343490797 |
Real period |
R |
0.26627936223618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55760s1 62730n1 34850f1 118490t1 |
Quadratic twists by: -4 -3 5 17 |