Atkin-Lehner |
3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21645f |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
113846964075 = 39 · 52 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32490,2262181] |
[a1,a2,a3,a4,a6] |
Generators |
[108:11:1] |
Generators of the group modulo torsion |
j |
5202988149947041/156168675 |
j-invariant |
L |
4.6233126788088 |
L(r)(E,1)/r! |
Ω |
0.98032237135415 |
Real period |
R |
1.1790286577931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215d2 108225r2 |
Quadratic twists by: -3 5 |