Atkin-Lehner |
3- 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13485i |
Isogeny class |
Conductor |
13485 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
1206576 |
Modular degree for the optimal curve |
Δ |
4.3262042999268E+19 |
Discriminant |
Eigenvalues |
2 3- 5- -4 -4 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12956520,-17952200119] |
[a1,a2,a3,a4,a6] |
j |
240540857551240442697650176/43262042999267578125 |
j-invariant |
L |
4.5358324344659 |
L(r)(E,1)/r! |
Ω |
0.079576007622208 |
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 |
40455h1 67425d1 |
Quadratic twists by: -3 5 |