Atkin-Lehner |
2+ 3+ 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690b |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192896 |
Modular degree for the optimal curve |
Δ |
-5832898560 = -1 · 211 · 33 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45789,-3759867] |
[a1,a2,a3,a4,a6] |
j |
-393231916501775883/216033280 |
j-invariant |
L |
0.65273752892829 |
L(r)(E,1)/r! |
Ω |
0.16318446439498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690bd1 |
Quadratic twists by: -3 |