Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368b |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
1843265536 = 217 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ -6 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,-2879] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:16:1] |
Generators of the group modulo torsion |
j |
76545506/14063 |
j-invariant |
L |
4.1740699239693 |
L(r)(E,1)/r! |
Ω |
1.0500865146537 |
Real period |
R |
0.99374429290373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18368y1 2296a1 128576bi1 |
Quadratic twists by: -4 8 -7 |