Atkin-Lehner |
2- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46144j |
Isogeny class |
Conductor |
46144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
2953216 = 212 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 2 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-964,-11520] |
[a1,a2,a3,a4,a6] |
j |
24187716288/721 |
j-invariant |
L |
3.4272127456329 |
L(r)(E,1)/r! |
Ω |
0.8568031864307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46144t1 23072c1 |
Quadratic twists by: -4 8 |