Atkin-Lehner |
3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075g |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1881703206566015625 = 36 · 58 · 136 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2472338,-1495843594] |
[a1,a2,a3,a4,a6] |
Generators |
[-889:1120:1] |
Generators of the group modulo torsion |
j |
106961437073464993369/120429005220225 |
j-invariant |
L |
1.7687849174244 |
L(r)(E,1)/r! |
Ω |
0.12040706000185 |
Real period |
R |
2.4483405394398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108225bc2 7215f2 |
Quadratic twists by: -3 5 |