Atkin-Lehner |
2- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176s |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
8421648801424474112 = 228 · 72 · 173 · 194 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-573131,91629946] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:12274:1] |
Generators of the group modulo torsion |
j |
5083062654573191457/2056066601910272 |
j-invariant |
L |
3.1040079824766 |
L(r)(E,1)/r! |
Ω |
0.21097446313859 |
Real period |
R |
1.2260599127727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4522j1 |
Quadratic twists by: -4 |