Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104y |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4676272128 = 214 · 33 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10539,-416422] |
[a1,a2,a3,a4,a6] |
j |
1170572220819/42284 |
j-invariant |
L |
1.884779875487 |
L(r)(E,1)/r! |
Ω |
0.47119496904962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6138k1 49104ba1 |
Quadratic twists by: -4 -3 |