Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1155h |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1334025 = 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129,-569] |
[a1,a2,a3,a4,a6] |
Generators |
[41:231:1] |
Generators of the group modulo torsion |
j |
234770924809/1334025 |
j-invariant |
L |
3.3205823523659 |
L(r)(E,1)/r! |
Ω |
1.4184197603245 |
Real period |
R |
2.3410434944916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480bt2 73920x2 3465n2 5775i2 |
Quadratic twists by: -4 8 -3 5 |