Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152bc |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5175717888 = 212 · 3 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-472,1748] |
[a1,a2,a3,a4,a6] |
j |
2845178713/1263603 |
j-invariant |
L |
2.4482522051933 |
L(r)(E,1)/r! |
Ω |
1.2241261025965 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1947a2 124608cf2 93456bi2 |
Quadratic twists by: -4 8 -3 |