Atkin-Lehner |
7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
123403c |
Isogeny class |
Conductor |
123403 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
105248 |
Modular degree for the optimal curve |
Δ |
-10306741963 = -1 · 7 · 176 · 61 |
Discriminant |
Eigenvalues |
0 -2 -4 7+ 2 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-385,-5815] |
[a1,a2,a3,a4,a6] |
j |
-262144/427 |
j-invariant |
L |
0.5100269555078 |
L(r)(E,1)/r! |
Ω |
0.51002512878223 |
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 |
427a1 |
Quadratic twists by: 17 |