Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49284c |
Isogeny class |
Conductor |
49284 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17734300939008 = 28 · 33 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20535,1114366] |
[a1,a2,a3,a4,a6] |
Generators |
[62:282:1] [222:2738:1] |
Generators of the group modulo torsion |
j |
54000 |
j-invariant |
L |
8.6590985094297 |
L(r)(E,1)/r! |
Ω |
0.6915519543996 |
Real period |
R |
6.2606276031337 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49284c4 36a2 |
Quadratic twists by: -3 37 |