Atkin-Lehner |
3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075y |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-197848828125 = -1 · 34 · 58 · 132 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -6 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1201,-26827] |
[a1,a2,a3,a4,a6] |
Generators |
[43:17:1] |
Generators of the group modulo torsion |
j |
-489860905/506493 |
j-invariant |
L |
6.4785335713474 |
L(r)(E,1)/r! |
Ω |
0.38944157753581 |
Real period |
R |
2.0794305054497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108225bk1 36075b1 |
Quadratic twists by: -3 5 |