Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966i |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
498464064 = 26 · 33 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-201,-179] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:17:1] [-6:31:1] |
Generators of the group modulo torsion |
j |
39661299/21952 |
j-invariant |
L |
7.1642456049193 |
L(r)(E,1)/r! |
Ω |
1.3577827654134 |
Real period |
R |
0.43970249314045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966bo2 105966bp1 |
Quadratic twists by: -3 29 |