Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bc |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
7207200 |
Modular degree for the optimal curve |
Δ |
-4.0547284268858E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 3 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7259849,-12267898707] |
[a1,a2,a3,a4,a6] |
Generators |
[284943551:57807231180:6859] |
Generators of the group modulo torsion |
j |
-2609064081/2500000 |
j-invariant |
L |
5.1313103492489 |
L(r)(E,1)/r! |
Ω |
0.044256134113987 |
Real period |
R |
16.563677549159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1690b1 82810bu1 |
Quadratic twists by: -7 13 |