Atkin-Lehner |
7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139g |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8031339717463517 = 73 · 13 · 239 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 3 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-292713,60705096] |
[a1,a2,a3,a4,a6] |
Generators |
[1178:36497:8] |
Generators of the group modulo torsion |
j |
18736316416000/54252653 |
j-invariant |
L |
2.8703436247273 |
L(r)(E,1)/r! |
Ω |
0.41658192633235 |
Real period |
R |
1.7225565028578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093h2 |
Quadratic twists by: -23 |