Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350bj |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
-3.31540529152E+19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -5 -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50191950,-136888343500] |
[a1,a2,a3,a4,a6] |
Generators |
[10511241454580:25422979157510:1284365503] |
Generators of the group modulo torsion |
j |
-304282977309754105/721420288 |
j-invariant |
L |
5.1548633244768 |
L(r)(E,1)/r! |
Ω |
0.028360310340756 |
Real period |
R |
15.146940867184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350cx1 2150g1 |
Quadratic twists by: 5 -7 |