Atkin-Lehner |
3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bx |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7667712 |
Modular degree for the optimal curve |
Δ |
25191548006625 = 32 · 53 · 76 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-218585571,-1243903555224] |
[a1,a2,a3,a4,a6] |
j |
9817478153357586761106721/214124625 |
j-invariant |
L |
1.2564470195233 |
L(r)(E,1)/r! |
Ω |
0.039263967544045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2145e1 |
Quadratic twists by: -7 |