Atkin-Lehner |
2+ 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270b |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-2084346000 = -1 · 24 · 33 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,317,-227] |
[a1,a2,a3,a4,a6] |
Generators |
[6:41:1] |
Generators of the group modulo torsion |
j |
2633789341/1566000 |
j-invariant |
L |
3.9586855835266 |
L(r)(E,1)/r! |
Ω |
0.85849018056355 |
Real period |
R |
1.1528045708643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999159907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270bi1 |
Quadratic twists by: -11 |