Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350bb |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
7635852280000 = 26 · 54 · 74 · 433 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -6 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4926,4848] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:357:1] |
Generators of the group modulo torsion |
j |
8806594825/5088448 |
j-invariant |
L |
3.2726140500962 |
L(r)(E,1)/r! |
Ω |
0.62931145469483 |
Real period |
R |
0.86671816987295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049921 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105350bv1 105350bq1 |
Quadratic twists by: 5 -7 |