Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32912o |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
30839333888 = 210 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ -2 0 0 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-9308] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:52:1] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
4.0858692185511 |
L(r)(E,1)/r! |
Ω |
0.8645119231321 |
Real period |
R |
2.3631074998641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16456h1 272a1 |
Quadratic twists by: -4 -11 |