Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105f |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1867776 |
Modular degree for the optimal curve |
Δ |
-2327750011695002895 = -1 · 32 · 5 · 78 · 11 · 138 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-441736,-134936152] |
[a1,a2,a3,a4,a6] |
j |
-81025909800741361/19785548637855 |
j-invariant |
L |
0.36566152938712 |
L(r)(E,1)/r! |
Ω |
0.09141540852002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015u1 |
Quadratic twists by: -7 |