Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12408a |
Isogeny class |
Conductor |
12408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5542504704 = 28 · 34 · 112 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604,4256] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:66:1] |
Generators of the group modulo torsion |
j |
95348396752/21650409 |
j-invariant |
L |
4.2229273109443 |
L(r)(E,1)/r! |
Ω |
1.2755176359064 |
Real period |
R |
1.6553778607472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24816b2 99264c2 37224m2 |
Quadratic twists by: -4 8 -3 |