Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bn |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3.1297964544E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-407487816,3166191056880] |
[a1,a2,a3,a4,a6] |
Generators |
[40914:7414902:1] |
Generators of the group modulo torsion |
j |
1826870018430810435423307849/7641104625000000000 |
j-invariant |
L |
3.7021889826128 |
L(r)(E,1)/r! |
Ω |
0.10317529053717 |
Real period |
R |
5.9804192834312 |
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 |
2310g7 73920hg8 55440dx8 92400hf8 |
Quadratic twists by: -4 8 -3 5 |