Atkin-Lehner |
2+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350bs |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-526750000000 = -1 · 27 · 59 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -4 2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5450,156500] |
[a1,a2,a3,a4,a6] |
Generators |
[49:76:1] [85:520:1] |
Generators of the group modulo torsion |
j |
-187116293/5504 |
j-invariant |
L |
11.761280322161 |
L(r)(E,1)/r! |
Ω |
0.92300115964789 |
Real period |
R |
6.3712164390378 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350dl1 105350bd1 |
Quadratic twists by: 5 -7 |