Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136bb |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
755603996672 = 217 · 78 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7905,-269921] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:49:1] |
Generators of the group modulo torsion |
j |
3543122/49 |
j-invariant |
L |
1.7117468481469 |
L(r)(E,1)/r! |
Ω |
0.50673753239136 |
Real period |
R |
1.6889876304099 |
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 |
3136j2 784e2 28224gj2 78400ib2 |
Quadratic twists by: -4 8 -3 5 |