Atkin-Lehner |
3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075d |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-20334462890625 = -1 · 32 · 510 · 132 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5063,-259594] |
[a1,a2,a3,a4,a6] |
Generators |
[120:877:1] |
Generators of the group modulo torsion |
j |
-918613512361/1301405625 |
j-invariant |
L |
2.9194610795376 |
L(r)(E,1)/r! |
Ω |
0.26915147027029 |
Real period |
R |
1.3558634272952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225y2 7215i2 |
Quadratic twists by: -3 5 |