Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bm |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
836785857600 = 26 · 36 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5510,153000] |
[a1,a2,a3,a4,a6] |
j |
289119478354624/13074779025 |
j-invariant |
L |
1.7633212457121 |
L(r)(E,1)/r! |
Ω |
0.88166062287928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960bt1 73920gy2 110880bl1 |
Quadratic twists by: -4 8 -3 |