Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696by |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
11232346112 = 223 · 13 · 103 |
Discriminant |
Eigenvalues |
2- -2 -2 3 -3 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6529,-205185] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:8:1] |
Generators of the group modulo torsion |
j |
117433042273/42848 |
j-invariant |
L |
4.0973453569762 |
L(r)(E,1)/r! |
Ω |
0.53111902015796 |
Real period |
R |
1.9286380299272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696h1 21424v1 |
Quadratic twists by: -4 8 |