Atkin-Lehner |
17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
117113b |
Isogeny class |
Conductor |
117113 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
743904 |
Modular degree for the optimal curve |
Δ |
38288967946363697 = 17 · 838 |
Discriminant |
Eigenvalues |
1 -2 0 -2 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-193036,31240941] |
[a1,a2,a3,a4,a6] |
j |
2433138625/117113 |
j-invariant |
L |
0.36011645949397 |
L(r)(E,1)/r! |
Ω |
0.36011503988125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1411b1 |
Quadratic twists by: -83 |