Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bm |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.8221966229512E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5464016,4468305216] |
[a1,a2,a3,a4,a6] |
Generators |
[1685:6534:1] |
Generators of the group modulo torsion |
j |
4404531606962679693649/444872222400201750 |
j-invariant |
L |
4.0790564768487 |
L(r)(E,1)/r! |
Ω |
0.14426067915188 |
Real period |
R |
2.3562995479375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2310t8 73920hf8 55440dz8 92400hj8 |
Quadratic twists by: -4 8 -3 5 |