Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59926f |
Isogeny class |
Conductor |
59926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-169686607689160876 = -1 · 22 · 197 · 834 |
Discriminant |
Eigenvalues |
2- 0 -2 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,94514,-16385559] |
[a1,a2,a3,a4,a6] |
Generators |
[751894243092637435:-191173128028809134809:11676998196703] |
Generators of the group modulo torsion |
j |
1984699888263/3606832396 |
j-invariant |
L |
7.9018591086478 |
L(r)(E,1)/r! |
Ω |
0.16866702282319 |
Real period |
R |
23.424434060247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3154b4 |
Quadratic twists by: -19 |