Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540i |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-1536331732927200000 = -1 · 28 · 315 · 55 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-385608,-109775932] |
[a1,a2,a3,a4,a6] |
j |
-33977727162474496/8232230221875 |
j-invariant |
L |
1.7024891310887 |
L(r)(E,1)/r! |
Ω |
0.094582729512981 |
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 |
15180i1 |
Quadratic twists by: -3 |