Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728cf |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
278567134691328 = 218 · 34 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18817,578783] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:864:1] |
Generators of the group modulo torsion |
j |
2810981740897/1062649287 |
j-invariant |
L |
8.764568550039 |
L(r)(E,1)/r! |
Ω |
0.50134217825699 |
Real period |
R |
2.1852760774259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728cu3 777d3 |
Quadratic twists by: -4 8 |