Atkin-Lehner |
2+ 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176c |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1092905212160507904 = -1 · 239 · 39 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,253044,-11378448] |
[a1,a2,a3,a4,a6] |
Generators |
[235532892:8710769376:1685159] |
Generators of the group modulo torsion |
j |
347280685389/211812352 |
j-invariant |
L |
8.6607879121947 |
L(r)(E,1)/r! |
Ω |
0.15975909703415 |
Real period |
R |
13.552886929246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176bo2 1818c2 58176f1 |
Quadratic twists by: -4 8 -3 |