Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368z |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1442230272 = 212 · 37 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23196,1359776] |
[a1,a2,a3,a4,a6] |
j |
462248527168/483 |
j-invariant |
L |
2.5464393735744 |
L(r)(E,1)/r! |
Ω |
1.2732196868412 |
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 |
46368bj4 92736ck1 15456m2 |
Quadratic twists by: -4 8 -3 |