Atkin-Lehner |
2- 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550bw |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-82191375000 = -1 · 23 · 33 · 56 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-263,13781] |
[a1,a2,a3,a4,a6] |
j |
-128787625/5260248 |
j-invariant |
L |
5.3942394468617 |
L(r)(E,1)/r! |
Ω |
0.89903990269571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2982e1 |
Quadratic twists by: 5 |