Atkin-Lehner |
2+ 3+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710b |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
887154278400 = 218 · 32 · 52 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3673,-74267] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:118:1] |
Generators of the group modulo torsion |
j |
5482406498859289/887154278400 |
j-invariant |
L |
3.1358398488278 |
L(r)(E,1)/r! |
Ω |
0.61995363380289 |
Real period |
R |
1.2645461200025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130by1 |
Quadratic twists by: -3 |