Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136t |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-7529536 = -1 · 26 · 76 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49,0] |
[a1,a2,a3,a4,a6] |
Generators |
[48:260:27] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
2.9910743371588 |
L(r)(E,1)/r! |
Ω |
1.4015487166519 |
Real period |
R |
4.2682416980895 |
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 |
3136t1 1568g4 28224fp1 78400gt1 |
Quadratic twists by: -4 8 -3 5 |