Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
468b |
Isogeny class |
Conductor |
468 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
851565312 = 28 · 39 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24327,1460430] |
[a1,a2,a3,a4,a6] |
j |
315978926832/169 |
j-invariant |
L |
1.2989007217856 |
L(r)(E,1)/r! |
Ω |
1.2989007217856 |
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 |
1872m2 7488i2 468a2 11700e2 |
Quadratic twists by: -4 8 -3 5 |