Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ck |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.4203227356579E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-606593,-13940001] |
[a1,a2,a3,a4,a6] |
j |
94162220003958625/54181012560192 |
j-invariant |
L |
3.7221474005751 |
L(r)(E,1)/r! |
Ω |
0.18610737000405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728db2 1554i2 |
Quadratic twists by: -4 8 |