Atkin-Lehner |
2+ 3- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550bi |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
108800 |
Modular degree for the optimal curve |
Δ |
-471761718750 = -1 · 2 · 35 · 59 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1326,37798] |
[a1,a2,a3,a4,a6] |
Generators |
[2:186:1] |
Generators of the group modulo torsion |
j |
-131872229/241542 |
j-invariant |
L |
5.3894718639667 |
L(r)(E,1)/r! |
Ω |
0.83477098217104 |
Real period |
R |
0.64562280906934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550ct1 |
Quadratic twists by: 5 |