Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136t |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
481890304 = 212 · 76 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196,0] |
[a1,a2,a3,a4,a6] |
Generators |
[18:48:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
2.9910743371588 |
L(r)(E,1)/r! |
Ω |
1.4015487166519 |
Real period |
R |
2.1341208490448 |
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 |
3136t2 1568g1 28224fp2 78400gt2 |
Quadratic twists by: -4 8 -3 5 |