Atkin-Lehner |
3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905i |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.0386576452268E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1660228,-848875004] |
[a1,a2,a3,a4,a6] |
Generators |
[18646:2542649:1] |
Generators of the group modulo torsion |
j |
25712000447398705413/30679559240089375 |
j-invariant |
L |
4.0673953375024 |
L(r)(E,1)/r! |
Ω |
0.087453073286784 |
Real period |
R |
5.813682677085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905b2 |
Quadratic twists by: -3 |