Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120da |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1381168392192000 = -1 · 214 · 315 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24015,-1062225] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1080:1] |
Generators of the group modulo torsion |
j |
93483176565296/84299828625 |
j-invariant |
L |
8.3625032675522 |
L(r)(E,1)/r! |
Ω |
0.26381219162624 |
Real period |
R |
0.17610388360005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120h1 11280l1 |
Quadratic twists by: -4 8 |