Atkin-Lehner |
17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
22831b |
Isogeny class |
Conductor |
22831 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1906867951 = 176 · 79 |
Discriminant |
Eigenvalues |
-1 1 3 1 2 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-584,4961] |
[a1,a2,a3,a4,a6] |
j |
912673/79 |
j-invariant |
L |
2.8865621659723 |
L(r)(E,1)/r! |
Ω |
1.4432810829862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79a1 |
Quadratic twists by: 17 |