Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190c |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1253444296066560000 = -1 · 212 · 33 · 54 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,267017,9116437] |
[a1,a2,a3,a4,a6] |
Generators |
[291:10417:1] |
Generators of the group modulo torsion |
j |
436192097814719/259683840000 |
j-invariant |
L |
2.3154511867106 |
L(r)(E,1)/r! |
Ω |
0.16641671814593 |
Real period |
R |
1.7391966470678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630s1 |
Quadratic twists by: 13 |