Atkin-Lehner |
2- 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110cb |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-10929228947243100 = -1 · 22 · 311 · 52 · 13 · 834 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-206078,-36305719] |
[a1,a2,a3,a4,a6] |
j |
-1327666816275148441/14992083603900 |
j-invariant |
L |
4.03062265814 |
L(r)(E,1)/r! |
Ω |
0.11196174336595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370l1 |
Quadratic twists by: -3 |