Atkin-Lehner |
2- 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440cj |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-141995677224960 = -1 · 212 · 38 · 5 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11224,349044] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:342:1] |
Generators of the group modulo torsion |
j |
38174032970711/34666913385 |
j-invariant |
L |
7.4044524455409 |
L(r)(E,1)/r! |
Ω |
0.37943313720835 |
Real period |
R |
2.4393139835386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999814423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215b4 |
Quadratic twists by: -4 |