Atkin-Lehner |
3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74589j |
Isogeny class |
Conductor |
74589 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20873060349 = 3 · 236 · 47 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-397819,-96610756] |
[a1,a2,a3,a4,a6] |
Generators |
[17945818:666220471:10648] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
2.6247794416277 |
L(r)(E,1)/r! |
Ω |
0.19009827182371 |
Real period |
R |
13.807487132271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
141c4 |
Quadratic twists by: -23 |