Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bs |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-1794101293359375 = -1 · 3 · 58 · 77 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29644,-539505] |
[a1,a2,a3,a4,a6] |
Generators |
[53553:2367290:27] |
Generators of the group modulo torsion |
j |
24487529386319/15249609375 |
j-invariant |
L |
4.2756369981924 |
L(r)(E,1)/r! |
Ω |
0.2711447734704 |
Real period |
R |
7.8844171063669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015f1 |
Quadratic twists by: -7 |