Atkin-Lehner |
7+ 31+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
14539a |
Isogeny class |
Conductor |
14539 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
-6552858151 = -1 · 72 · 313 · 672 |
Discriminant |
Eigenvalues |
-1 0 -2 7+ 6 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,464,466] |
[a1,a2,a3,a4,a6] |
Generators |
[62:483:1] |
Generators of the group modulo torsion |
j |
11070183993903/6552858151 |
j-invariant |
L |
2.706954634375 |
L(r)(E,1)/r! |
Ω |
0.81338311400279 |
Real period |
R |
3.3280192172341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101773f1 |
Quadratic twists by: -7 |