Atkin-Lehner |
2- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650bj |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
770312500 = 22 · 58 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 0 5 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7013,-228969] |
[a1,a2,a3,a4,a6] |
Generators |
[-64999:34238:1331] |
Generators of the group modulo torsion |
j |
97651532785/1972 |
j-invariant |
L |
6.6604334112192 |
L(r)(E,1)/r! |
Ω |
0.52170355804026 |
Real period |
R |
6.3833505719595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24650g1 |
Quadratic twists by: 5 |