Atkin-Lehner |
3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
58089a |
Isogeny class |
Conductor |
58089 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-24806352751807299 = -1 · 3 · 177 · 674 |
Discriminant |
Eigenvalues |
1 3+ 2 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,51581,-6068780] |
[a1,a2,a3,a4,a6] |
Generators |
[469840733764058017560:12169244194770038974765:746853637450511872] |
Generators of the group modulo torsion |
j |
628762020263/1027707171 |
j-invariant |
L |
6.2204414624124 |
L(r)(E,1)/r! |
Ω |
0.19908528336634 |
Real period |
R |
31.245109418303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3417g4 |
Quadratic twists by: 17 |