Atkin-Lehner |
2- 3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758u |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-64745221337496 = -1 · 23 · 35 · 72 · 294 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6566,329084] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-658:1] |
Generators of the group modulo torsion |
j |
31305613084762463/64745221337496 |
j-invariant |
L |
9.5169509677655 |
L(r)(E,1)/r! |
Ω |
0.4293048705036 |
Real period |
R |
0.73894269718696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113274y2 |
Quadratic twists by: -3 |