Atkin-Lehner |
2+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17864f |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7936 |
Modular degree for the optimal curve |
Δ |
-729422848 = -1 · 210 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-848,-9316] |
[a1,a2,a3,a4,a6] |
j |
-65936114500/712327 |
j-invariant |
L |
3.5362121336404 |
L(r)(E,1)/r! |
Ω |
0.44202651670504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35728h1 125048b1 |
Quadratic twists by: -4 -7 |