Atkin-Lehner |
2+ 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59696c |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-1918868224 = -1 · 28 · 73 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ 6 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22009,1249443] |
[a1,a2,a3,a4,a6] |
Generators |
[86:11:1] |
Generators of the group modulo torsion |
j |
-4605792948063232/7495579 |
j-invariant |
L |
5.7184293564494 |
L(r)(E,1)/r! |
Ω |
1.262403980876 |
Real period |
R |
2.2648967538393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29848d1 |
Quadratic twists by: -4 |