Atkin-Lehner |
2- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176r |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23232 |
Modular degree for the optimal curve |
Δ |
-18966642688 = -1 · 223 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -2 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1571,24866] |
[a1,a2,a3,a4,a6] |
Generators |
[49:256:1] |
Generators of the group modulo torsion |
j |
-104686895097/4630528 |
j-invariant |
L |
2.9211535294177 |
L(r)(E,1)/r! |
Ω |
1.2107905207681 |
Real period |
R |
0.60315006586871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522d1 |
Quadratic twists by: -4 |