Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960ba |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-365281280 = -1 · 214 · 5 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77,882] |
[a1,a2,a3,a4,a6] |
Generators |
[7:42:1] [18:90:1] |
Generators of the group modulo torsion |
j |
35937/260 |
j-invariant |
L |
8.8254322561433 |
L(r)(E,1)/r! |
Ω |
1.236302814917 |
Real period |
R |
3.5692842197135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370d1 50960bm1 |
Quadratic twists by: -4 -7 |