Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350be |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
707040 |
Modular degree for the optimal curve |
Δ |
3468319531250 = 2 · 58 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 6 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-205826,35924298] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1511:1] |
Generators of the group modulo torsion |
j |
1028180082265/3698 |
j-invariant |
L |
3.5640596181205 |
L(r)(E,1)/r! |
Ω |
0.69360799151987 |
Real period |
R |
0.8564058549105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998552734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350bx1 105350bt1 |
Quadratic twists by: 5 -7 |