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 |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
5987887767082045440 = 212 · 322 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-454683,8063498] |
[a1,a2,a3,a4,a6] |
Generators |
[2021:85696:1] |
Generators of the group modulo torsion |
j |
3481467828171481/2005331497785 |
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 |
3465l1 18480cf1 |
Quadratic twists by: -4 -3 |