Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850w |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-37975000000 = -1 · 26 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-9383] |
[a1,a2,a3,a4,a6] |
Generators |
[42:229:1] |
Generators of the group modulo torsion |
j |
-1771561/2430400 |
j-invariant |
L |
4.3693531220394 |
L(r)(E,1)/r! |
Ω |
0.52120240718383 |
Real period |
R |
0.69860145531049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800bw1 97650z1 2170g1 75950cg1 |
Quadratic twists by: -4 -3 5 -7 |