Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440cv |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-2152640 = -1 · 26 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,71] |
[a1,a2,a3,a4,a6] |
Generators |
[10:31:1] |
Generators of the group modulo torsion |
j |
-4096/33635 |
j-invariant |
L |
3.4132225773287 |
L(r)(E,1)/r! |
Ω |
2.085751708681 |
Real period |
R |
0.81822360835501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440j1 17360bj1 |
Quadratic twists by: -4 8 |