Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3432d |
Isogeny class |
Conductor |
3432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1169405952 = 211 · 3 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1704,-27600] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1212:1] |
Generators of the group modulo torsion |
j |
267335955794/570999 |
j-invariant |
L |
3.6888847557593 |
L(r)(E,1)/r! |
Ω |
0.74313317882402 |
Real period |
R |
4.9639618588916 |
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 |
6864c4 27456h4 10296j4 85800by4 |
Quadratic twists by: -4 8 -3 5 |