Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bt |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
127733760 = 212 · 34 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32856,2303280] |
[a1,a2,a3,a4,a6] |
Generators |
[106:18:1] |
Generators of the group modulo torsion |
j |
957681397954009/31185 |
j-invariant |
L |
3.8762505262774 |
L(r)(E,1)/r! |
Ω |
1.362834974514 |
Real period |
R |
1.4221276232142 |
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 |
1155h3 73920ij4 55440et4 92400gb4 |
Quadratic twists by: -4 8 -3 5 |