Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080dl |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-453427200 = -1 · 214 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-442752,-113393696] |
[a1,a2,a3,a4,a6] |
Generators |
[1861184715044:508853393241345:24897088] |
Generators of the group modulo torsion |
j |
-21698094866890752/1025 |
j-invariant |
L |
7.8572301206881 |
L(r)(E,1)/r! |
Ω |
0.092539985283238 |
Real period |
R |
21.226581397867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080k1 29520w1 118080dh2 |
Quadratic twists by: -4 8 -3 |