Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120y |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-91368000 = -1 · 26 · 35 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -4 5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-466] |
[a1,a2,a3,a4,a6] |
j |
-7529536/1427625 |
j-invariant |
L |
4.2478725357755 |
L(r)(E,1)/r! |
Ω |
0.84957450723219 |
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 |
45120f1 22560q1 |
Quadratic twists by: -4 8 |