Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474p |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3808454746568342832 = 24 · 311 · 134 · 196 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67382703,212914421181] |
[a1,a2,a3,a4,a6] |
Generators |
[1625190:-839973:343] |
Generators of the group modulo torsion |
j |
986551739719628473/111045168 |
j-invariant |
L |
5.2189297678656 |
L(r)(E,1)/r! |
Ω |
0.19211493160705 |
Real period |
R |
3.3957080586133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28158r4 234d3 |
Quadratic twists by: -3 -19 |