Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704l |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-68623705294848 = -1 · 211 · 34 · 112 · 434 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-384,-398700] |
[a1,a2,a3,a4,a6] |
Generators |
[78:228:1] |
Generators of the group modulo torsion |
j |
-3065617154/33507668601 |
j-invariant |
L |
6.3953694390032 |
L(r)(E,1)/r! |
Ω |
0.28104657005237 |
Real period |
R |
2.8444438219845 |
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 |
11352k4 90816by3 68112w3 |
Quadratic twists by: -4 8 -3 |