Atkin-Lehner |
2- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55760p |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-46820556800000 = -1 · 219 · 55 · 17 · 412 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 -2 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-756643,253329058] |
[a1,a2,a3,a4,a6] |
Generators |
[433:2624:1] |
Generators of the group modulo torsion |
j |
-11695985466628852089/11430800000 |
j-invariant |
L |
3.1331181601343 |
L(r)(E,1)/r! |
Ω |
0.53448495185902 |
Real period |
R |
0.73274236939563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6970d1 |
Quadratic twists by: -4 |