Atkin-Lehner |
3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075k |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20400 |
Modular degree for the optimal curve |
Δ |
-563671875 = -1 · 3 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 -3 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,-1557] |
[a1,a2,a3,a4,a6] |
j |
-2560000/1443 |
j-invariant |
L |
0.61233119748811 |
L(r)(E,1)/r! |
Ω |
0.61233119750791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108225bl1 36075m1 |
Quadratic twists by: -3 5 |