Atkin-Lehner |
3- 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395x |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-67315871390625 = -1 · 36 · 56 · 112 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11+ 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,628,-394856] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-1864:1] |
Generators of the group modulo torsion |
j |
37629052551/92340015625 |
j-invariant |
L |
4.6918180372617 |
L(r)(E,1)/r! |
Ω |
0.28695495552538 |
Real period |
R |
0.68126517827299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12155e2 |
Quadratic twists by: -3 |