Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304l |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4472832 |
Modular degree for the optimal curve |
Δ |
249765340212432 = 24 · 320 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-530909526,-4708460055251] |
[a1,a2,a3,a4,a6] |
j |
1418854149881269000523696128/21413352213 |
j-invariant |
L |
2.0129101936534 |
L(r)(E,1)/r! |
Ω |
0.031451721775835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608r1 9768k1 |
Quadratic twists by: -4 -3 |