Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108225r |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1778858813671875 = 39 · 58 · 132 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-812255,281960372] |
[a1,a2,a3,a4,a6] |
Generators |
[279:8635:1] |
Generators of the group modulo torsion |
j |
5202988149947041/156168675 |
j-invariant |
L |
4.394001805123 |
L(r)(E,1)/r! |
Ω |
0.43841349244233 |
Real period |
R |
1.2528132300168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36075r2 21645f2 |
Quadratic twists by: -3 5 |