Atkin-Lehner |
3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075f |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
18575806640625 = 32 · 59 · 134 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23088,1324656] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1202:1] |
Generators of the group modulo torsion |
j |
87109155423289/1188851625 |
j-invariant |
L |
3.8772140692165 |
L(r)(E,1)/r! |
Ω |
0.69044211325281 |
Real period |
R |
2.807776347065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108225bb1 7215g1 |
Quadratic twists by: -3 5 |