Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080cg |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
3060633600 = 212 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-372,-736] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:45:1] |
Generators of the group modulo torsion |
j |
1906624/1025 |
j-invariant |
L |
9.3038245453672 |
L(r)(E,1)/r! |
Ω |
1.1571133896816 |
Real period |
R |
2.0101367388525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080cj1 59040bk1 13120m1 |
Quadratic twists by: -4 8 -3 |