Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440db |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
483084082736640000 = 212 · 310 · 54 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82802523,290010328778] |
[a1,a2,a3,a4,a6] |
Generators |
[9479:597350:1] |
Generators of the group modulo torsion |
j |
21026497979043461623321/161783881875 |
j-invariant |
L |
5.1841533799428 |
L(r)(E,1)/r! |
Ω |
0.20383947788137 |
Real period |
R |
6.3581321854467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3465l3 18480cf3 |
Quadratic twists by: -4 -3 |