Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966g |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-81792565502796288 = -1 · 29 · 33 · 73 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,96978,-7387436] |
[a1,a2,a3,a4,a6] |
j |
6280426125/5092864 |
j-invariant |
L |
2.2764486667938 |
L(r)(E,1)/r! |
Ω |
0.18970404437595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966bm2 3654p1 |
Quadratic twists by: -3 29 |