Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600l |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-31744000000 = -1 · 216 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,767,-2337] |
[a1,a2,a3,a4,a6] |
Generators |
[13:100:1] |
Generators of the group modulo torsion |
j |
48668/31 |
j-invariant |
L |
3.3444424954965 |
L(r)(E,1)/r! |
Ω |
0.67151550932528 |
Real period |
R |
1.2451099226499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600cg1 6200b1 1984d1 |
Quadratic twists by: -4 8 5 |