Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550bc |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
599400000000000 = 212 · 34 · 511 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4878463,4145335781] |
[a1,a2,a3,a4,a6] |
Generators |
[65:61842:1] |
Generators of the group modulo torsion |
j |
821774646379511057449/38361600000 |
j-invariant |
L |
4.5606937348316 |
L(r)(E,1)/r! |
Ω |
0.3845926059416 |
Real period |
R |
1.9764176708779 |
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 |
44400cv1 16650bd1 1110f1 |
Quadratic twists by: -4 -3 5 |