Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328x |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
357187584 = 214 · 3 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2769,-57009] |
[a1,a2,a3,a4,a6] |
Generators |
[3063:28340:27] |
Generators of the group modulo torsion |
j |
143360488528/21801 |
j-invariant |
L |
6.834681223962 |
L(r)(E,1)/r! |
Ω |
0.65812700162708 |
Real period |
R |
5.1925245404585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328cc2 13416e2 |
Quadratic twists by: -4 8 |