Atkin-Lehner |
3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bv |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1124250902775 = -1 · 35 · 52 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2326,-26953] |
[a1,a2,a3,a4,a6] |
j |
11836763639/9555975 |
j-invariant |
L |
4.8243053247606 |
L(r)(E,1)/r! |
Ω |
0.48243056028848 |
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 |
2145c1 |
Quadratic twists by: -7 |