Atkin-Lehner |
3+ 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36465k |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1448039189025 = 34 · 52 · 114 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25075,1516760] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:1123:1] [-32:1528:1] |
Generators of the group modulo torsion |
j |
1743603048618490801/1448039189025 |
j-invariant |
L |
4.7831143501747 |
L(r)(E,1)/r! |
Ω |
0.84543216600837 |
Real period |
R |
2.8287984196044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109395r2 |
Quadratic twists by: -3 |