Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950bx |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
199162950 = 2 · 3 · 52 · 75 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-238,-1339] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:135:8] |
Generators of the group modulo torsion |
j |
59652495625/7966518 |
j-invariant |
L |
9.3409469480143 |
L(r)(E,1)/r! |
Ω |
1.2262079290545 |
Real period |
R |
1.5235502435256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bd1 |
Quadratic twists by: 5 |