Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120br |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-175894364160 = -1 · 216 · 35 · 5 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1119,13761] |
[a1,a2,a3,a4,a6] |
j |
2362358876/2683935 |
j-invariant |
L |
1.3518443862675 |
L(r)(E,1)/r! |
Ω |
0.67592219314549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120ba1 11280g1 |
Quadratic twists by: -4 8 |