Atkin-Lehner |
2+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730l |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
121384250 = 2 · 53 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -3 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,678] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:38:1] [2:17:1] |
Generators of the group modulo torsion |
j |
19882681/4250 |
j-invariant |
L |
4.64286439479 |
L(r)(E,1)/r! |
Ω |
1.7588726274684 |
Real period |
R |
2.6396819884984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28730t1 |
Quadratic twists by: 13 |