Atkin-Lehner |
2+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022f |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-12705985191196982 = -1 · 2 · 195 · 376 |
Discriminant |
Eigenvalues |
2+ -1 4 3 2 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-95858,-12685310] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/4952198 |
j-invariant |
L |
2.6936630474669 |
L(r)(E,1)/r! |
Ω |
0.1346831524286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38b2 |
Quadratic twists by: 37 |