Atkin-Lehner |
2+ 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690f |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
3844928250 = 2 · 36 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -5 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40995,3205075] |
[a1,a2,a3,a4,a6] |
Generators |
[678:4285:8] [117:-56:1] |
Generators of the group modulo torsion |
j |
10451889631548721/5274250 |
j-invariant |
L |
7.9629590860007 |
L(r)(E,1)/r! |
Ω |
1.1431325345519 |
Real period |
R |
3.4829553199307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410q1 |
Quadratic twists by: -3 |