Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bs |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
22361528722500 = 22 · 33 · 54 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10711,356489] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:828:1] |
Generators of the group modulo torsion |
j |
76711450249/12622500 |
j-invariant |
L |
6.1191237961305 |
L(r)(E,1)/r! |
Ω |
0.64758404088083 |
Real period |
R |
4.7245789038112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610e1 |
Quadratic twists by: -11 |