Atkin-Lehner |
2- 3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690br |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
81958490577000 = 23 · 36 · 53 · 172 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14693,-525643] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:394:1] |
Generators of the group modulo torsion |
j |
481171514159881/112425913000 |
j-invariant |
L |
10.472778781393 |
L(r)(E,1)/r! |
Ω |
0.44094903086263 |
Real period |
R |
1.3194745948605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410c1 |
Quadratic twists by: -3 |