Atkin-Lehner |
3+ 41- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8241b |
Isogeny class |
Conductor |
8241 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-24723 = -1 · 32 · 41 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 0 -3 -5 -1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,14] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] [1:1:1] |
Generators of the group modulo torsion |
j |
-244140625/24723 |
j-invariant |
L |
3.0705564174237 |
L(r)(E,1)/r! |
Ω |
3.6863217511467 |
Real period |
R |
0.41647970859704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24723b1 |
Quadratic twists by: -3 |