Atkin-Lehner |
5+ 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88825d |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-610671875 = -1 · 56 · 112 · 17 · 19 |
Discriminant |
Eigenvalues |
0 1 5+ 2 11+ -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,17,1194] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:271:8] [18:87:1] |
Generators of the group modulo torsion |
j |
32768/39083 |
j-invariant |
L |
11.140831353238 |
L(r)(E,1)/r! |
Ω |
1.2727370812985 |
Real period |
R |
2.1883607221044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3553a1 |
Quadratic twists by: 5 |