Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440x |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25805640960000 = 211 · 34 · 54 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59760,-5637600] |
[a1,a2,a3,a4,a6] |
Generators |
[339:3630:1] |
Generators of the group modulo torsion |
j |
11524783974490082/12600410625 |
j-invariant |
L |
7.2136795606822 |
L(r)(E,1)/r! |
Ω |
0.30536890464643 |
Real period |
R |
2.9528545027508 |
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 |
44880h4 67320m4 112200a4 |
Quadratic twists by: -4 -3 5 |