Atkin-Lehner |
2+ 3+ 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950q |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4371840 |
Modular degree for the optimal curve |
Δ |
6686997823307812500 = 22 · 311 · 58 · 72 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -5 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8640950,-9779466000] |
[a1,a2,a3,a4,a6] |
j |
182662010045166015625/17118714427668 |
j-invariant |
L |
1.0566784730821 |
L(r)(E,1)/r! |
Ω |
0.08805654011401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950co1 |
Quadratic twists by: 5 |