Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105g |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-41985913344375 = -1 · 3 · 54 · 76 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7104,212904] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:3555:8] [3:482:1] |
Generators of the group modulo torsion |
j |
337008232079/356874375 |
j-invariant |
L |
5.7169989970185 |
L(r)(E,1)/r! |
Ω |
0.42585822626807 |
Real period |
R |
6.7123265982001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2145g4 |
Quadratic twists by: -7 |