Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450u |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111283200 |
Modular degree for the optimal curve |
Δ |
-1.2446961580094E+31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 5 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4005592542,195790984196116] |
[a1,a2,a3,a4,a6] |
j |
-623988329611290511411835929/1092737367799773234462720 |
j-invariant |
L |
1.4490074324727 |
L(r)(E,1)/r! |
Ω |
0.020125103227132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bd1 9090y1 |
Quadratic twists by: -3 5 |