Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160by |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-41398560000 = -1 · 28 · 33 · 54 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,700,-6948] |
[a1,a2,a3,a4,a6] |
Generators |
[314:2255:8] |
Generators of the group modulo torsion |
j |
147964420784/161713125 |
j-invariant |
L |
6.6907360425815 |
L(r)(E,1)/r! |
Ω |
0.6186732842061 |
Real period |
R |
5.4073258158964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540i2 |
Quadratic twists by: -4 |