Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448bp |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-72556425216 = -1 · 212 · 36 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2304,-44496] |
[a1,a2,a3,a4,a6] |
j |
-452984832/24299 |
j-invariant |
L |
0.68695186285166 |
L(r)(E,1)/r! |
Ω |
0.34347594956815 |
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 |
4653b1 8272l1 |
Quadratic twists by: -4 -3 |