Atkin-Lehner |
2+ 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270f |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
72354135000 = 23 · 3 · 54 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-257177,-50306451] |
[a1,a2,a3,a4,a6] |
Generators |
[2463:118206:1] |
Generators of the group modulo torsion |
j |
15989485458638089/615000 |
j-invariant |
L |
3.7026369791584 |
L(r)(E,1)/r! |
Ω |
0.21200265719678 |
Real period |
R |
4.3662624659766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230c4 |
Quadratic twists by: -7 |