Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440bb |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
9.4720590323806E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35450607,81241215694] |
[a1,a2,a3,a4,a6] |
Generators |
[3513:7600:1] |
Generators of the group modulo torsion |
j |
26401417552259125806544/507547744790625 |
j-invariant |
L |
6.8873217892208 |
L(r)(E,1)/r! |
Ω |
0.174956583106 |
Real period |
R |
3.9365891051198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720bs1 18480t1 |
Quadratic twists by: -4 -3 |