Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
12408d |
Isogeny class |
Conductor |
12408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4534776576 = -1 · 28 · 36 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-364,4324] |
[a1,a2,a3,a4,a6] |
Generators |
[4:54:1] |
Generators of the group modulo torsion |
j |
-20892021712/17713971 |
j-invariant |
L |
3.1219813029941 |
L(r)(E,1)/r! |
Ω |
1.2606177694752 |
Real period |
R |
0.61913717595258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24816g2 99264w2 37224d2 |
Quadratic twists by: -4 8 -3 |