Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110x |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2797548507669500 = -1 · 22 · 53 · 138 · 193 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40141,-4010579] |
[a1,a2,a3,a4,a6] |
Generators |
[8490:98507:27] |
Generators of the group modulo torsion |
j |
-8768839729/3429500 |
j-invariant |
L |
7.587491248539 |
L(r)(E,1)/r! |
Ω |
0.16544224843229 |
Real period |
R |
2.5478817870274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32110p2 |
Quadratic twists by: 13 |