Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864ba |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
68640 |
Modular degree for the optimal curve |
Δ |
1388903824 = 24 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3 1 7- 11- 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-847,9317] |
[a1,a2,a3,a4,a6] |
Generators |
[195156:856547:19683] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
14.467131429144 |
L(r)(E,1)/r! |
Ω |
1.5190230316183 |
Real period |
R |
9.5239710878904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47432m1 94864e1 784f1 |
Quadratic twists by: -4 -7 -11 |