Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414ch |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5056427429676 = 22 · 37 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8699,295103] |
[a1,a2,a3,a4,a6] |
Generators |
[99:580:1] |
Generators of the group modulo torsion |
j |
20324066489/1411788 |
j-invariant |
L |
9.5517305259223 |
L(r)(E,1)/r! |
Ω |
0.75234096488743 |
Real period |
R |
3.1740032019092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138i2 36414cw2 |
Quadratic twists by: -3 17 |