Atkin-Lehner |
2- 3- 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36582l |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
558720 |
Modular degree for the optimal curve |
Δ |
-28839062074368 = -1 · 210 · 3 · 74 · 13 · 673 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -1 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-673680,-212884224] |
[a1,a2,a3,a4,a6] |
j |
-33813078710206015422721/28839062074368 |
j-invariant |
L |
3.3328526334547 |
L(r)(E,1)/r! |
Ω |
0.08332131583656 |
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 |
109746g1 |
Quadratic twists by: -3 |