Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cc |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-14499840 = -1 · 214 · 3 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 -1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,177] |
[a1,a2,a3,a4,a6] |
Generators |
[7:24:1] |
Generators of the group modulo torsion |
j |
21296/885 |
j-invariant |
L |
6.0361432778146 |
L(r)(E,1)/r! |
Ω |
1.6829417874406 |
Real period |
R |
1.7933309764162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640bi1 14160x1 |
Quadratic twists by: -4 8 |