Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bd |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9934848 |
Modular degree for the optimal curve |
Δ |
-5.4775014416613E+23 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 1 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33745248,-83434502994] |
[a1,a2,a3,a4,a6] |
Generators |
[4218213570:2481251801029:12167] |
Generators of the group modulo torsion |
j |
-21818208730807/2812160000 |
j-invariant |
L |
6.142592589127 |
L(r)(E,1)/r! |
Ω |
0.031095851333879 |
Real period |
R |
12.346085421439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810j1 6370m1 |
Quadratic twists by: -7 13 |