Atkin-Lehner |
2+ 3- 11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105534p |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-762275971368609984 = -1 · 26 · 36 · 119 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11- 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-571515,171665189] |
[a1,a2,a3,a4,a6] |
Generators |
[590:5997:1] |
Generators of the group modulo torsion |
j |
-28319104195866315441/1045646051260096 |
j-invariant |
L |
5.0327669292664 |
L(r)(E,1)/r! |
Ω |
0.28219330271605 |
Real period |
R |
0.24770091964818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726i1 |
Quadratic twists by: -3 |