Atkin-Lehner |
2+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124270c |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
-6486971668750 = -1 · 2 · 55 · 176 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 0 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4570,-30774] |
[a1,a2,a3,a4,a6] |
j |
437245479/268750 |
j-invariant |
L |
0.8692234736814 |
L(r)(E,1)/r! |
Ω |
0.43461122776626 |
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 |
430b1 |
Quadratic twists by: 17 |