Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bg |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7.8648717645701E+19 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 6 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268193,429928127] |
[a1,a2,a3,a4,a6] |
Generators |
[111802687125:5111546642432:52734375] |
Generators of the group modulo torsion |
j |
-69173457625/2550136832 |
j-invariant |
L |
8.3300537956977 |
L(r)(E,1)/r! |
Ω |
0.16070789407569 |
Real period |
R |
12.958376817156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cl3 1862b3 1216b3 |
Quadratic twists by: -4 8 -7 |