Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36100d |
Isogeny class |
Conductor |
36100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
689472 |
Modular degree for the optimal curve |
Δ |
339671260820000000 = 28 · 57 · 198 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -3 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-914533,335151063] |
[a1,a2,a3,a4,a6] |
j |
1245184/5 |
j-invariant |
L |
0.61060286270728 |
L(r)(E,1)/r! |
Ω |
0.30530143135178 |
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 |
7220a1 36100i1 |
Quadratic twists by: 5 -19 |