Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70644b |
Isogeny class |
Conductor |
70644 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
2630142184449293136 = 24 · 34 · 76 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-754657,240216730] |
[a1,a2,a3,a4,a6] |
j |
4994190819328/276357501 |
j-invariant |
L |
3.0295726292071 |
L(r)(E,1)/r! |
Ω |
0.25246438596116 |
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 |
2436c1 |
Quadratic twists by: 29 |