Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336bu |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2043445248 = 215 · 32 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 13- -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1697,27393] |
[a1,a2,a3,a4,a6] |
Generators |
[21:24:1] |
Generators of the group modulo torsion |
j |
16503467336/62361 |
j-invariant |
L |
7.0079646122088 |
L(r)(E,1)/r! |
Ω |
1.4781101658708 |
Real period |
R |
1.185291318102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102336cn2 51168g2 |
Quadratic twists by: -4 8 |