Atkin-Lehner |
7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22253h |
Isogeny class |
Conductor |
22253 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
71114601943 = 75 · 114 · 172 |
Discriminant |
Eigenvalues |
-1 1 0 7- 11+ -6 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9713,367418] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:870:1] [59:-5:1] |
Generators of the group modulo torsion |
j |
350662100640625/246071287 |
j-invariant |
L |
5.7988319910588 |
L(r)(E,1)/r! |
Ω |
1.0845371301881 |
Real period |
R |
0.53468266135364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22253d1 |
Quadratic twists by: 17 |