Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1155h |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
31185 = 34 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2054,-35989] |
[a1,a2,a3,a4,a6] |
Generators |
[438:803:8] |
Generators of the group modulo torsion |
j |
957681397954009/31185 |
j-invariant |
L |
3.3205823523659 |
L(r)(E,1)/r! |
Ω |
0.70920988016224 |
Real period |
R |
4.6820869889831 |
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 |
18480bt4 73920x4 3465n4 5775i3 |
Quadratic twists by: -4 8 -3 5 |