Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148ci |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-869684751863085312 = -1 · 28 · 35 · 72 · 1111 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,211468,-24672012] |
[a1,a2,a3,a4,a6] |
Generators |
[907:30234:1] |
Generators of the group modulo torsion |
j |
47061251888/39135393 |
j-invariant |
L |
9.6213108558869 |
L(r)(E,1)/r! |
Ω |
0.15537981561864 |
Real period |
R |
6.1921240016024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148h1 6468r1 |
Quadratic twists by: -7 -11 |