Atkin-Lehner |
2- 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360ca |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
9676818900000000 = 28 · 38 · 58 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-702327,226496954] |
[a1,a2,a3,a4,a6] |
Generators |
[853:15750:1] [-722:18900:1] |
Generators of the group modulo torsion |
j |
205293080860112464/51851953125 |
j-invariant |
L |
12.165159826377 |
L(r)(E,1)/r! |
Ω |
0.39873864627073 |
Real period |
R |
0.31780319278236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120f2 |
Quadratic twists by: -3 |