Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350be |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
275405520150000000 = 27 · 39 · 58 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-423605,103176397] |
[a1,a2,a3,a4,a6] |
Generators |
[179:5660:1] |
Generators of the group modulo torsion |
j |
27333463470867/895491200 |
j-invariant |
L |
7.0474846796108 |
L(r)(E,1)/r! |
Ω |
0.30742955978406 |
Real period |
R |
0.40935536841588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800cj2 10350b2 2070b2 |
Quadratic twists by: -4 -3 5 |