Atkin-Lehner |
2+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24442b |
Isogeny class |
Conductor |
24442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-3300735980929024 = -1 · 218 · 112 · 1014 |
Discriminant |
Eigenvalues |
2+ 0 3 0 11- 5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5032,2759488] |
[a1,a2,a3,a4,a6] |
j |
116442545499423/27278809759744 |
j-invariant |
L |
1.3831682609981 |
L(r)(E,1)/r! |
Ω |
0.34579206524948 |
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 |
24442n1 |
Quadratic twists by: -11 |