Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220q |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-5240299673720321280 = -1 · 28 · 38 · 5 · 710 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,378897,63810038] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:4606:1] |
Generators of the group modulo torsion |
j |
32234409476942384/28079452126845 |
j-invariant |
L |
5.3598778078599 |
L(r)(E,1)/r! |
Ω |
0.15729871815763 |
Real period |
R |
0.56790861261601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740i2 |
Quadratic twists by: -3 |