Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cn |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-153652445900800 = -1 · 212 · 52 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,596400] |
[a1,a2,a3,a4,a6] |
Generators |
[1500:58080:1] |
Generators of the group modulo torsion |
j |
-1/21175 |
j-invariant |
L |
10.124444469483 |
L(r)(E,1)/r! |
Ω |
0.45876580521298 |
Real period |
R |
2.7586091734863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4235e1 6160l1 |
Quadratic twists by: -4 -11 |