Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300u |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-33111909740000000 = -1 · 28 · 57 · 73 · 136 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3402533,-2414630063] |
[a1,a2,a3,a4,a6] |
Generators |
[4472:267925:1] |
Generators of the group modulo torsion |
j |
-225637236736/1715 |
j-invariant |
L |
4.4068382550645 |
L(r)(E,1)/r! |
Ω |
0.055580028332809 |
Real period |
R |
6.6073467701443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23660b2 700a2 |
Quadratic twists by: 5 13 |