Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40480j |
Isogeny class |
Conductor |
40480 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-48980800000 = -1 · 29 · 55 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11- -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,10648] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:22:1] [66:550:1] |
Generators of the group modulo torsion |
j |
-8/95665625 |
j-invariant |
L |
6.409753904034 |
L(r)(E,1)/r! |
Ω |
0.89690095970099 |
Real period |
R |
0.23821856934904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40480c1 80960d1 |
Quadratic twists by: -4 8 |