Atkin-Lehner |
3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94809s |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
778752 |
Modular degree for the optimal curve |
Δ |
-134610832102520631 = -1 · 3 · 114 · 139 · 172 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 11+ 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48929,18132984] |
[a1,a2,a3,a4,a6] |
Generators |
[19449:2702472:1] |
Generators of the group modulo torsion |
j |
-1221611509/12693747 |
j-invariant |
L |
3.376210859584 |
L(r)(E,1)/r! |
Ω |
0.27969153792622 |
Real period |
R |
6.0355971003897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94809x1 |
Quadratic twists by: 13 |