Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480t |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
129932222666400000 = 28 · 316 · 55 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3938956,-3010246900] |
[a1,a2,a3,a4,a6] |
Generators |
[9254:867816:1] |
Generators of the group modulo torsion |
j |
26401417552259125806544/507547744790625 |
j-invariant |
L |
5.6873645804595 |
L(r)(E,1)/r! |
Ω |
0.10716544311353 |
Real period |
R |
6.6338602435892 |
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 |
9240b1 73920fj1 55440bb1 92400w1 |
Quadratic twists by: -4 8 -3 5 |