Atkin-Lehner |
5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82075c |
Isogeny class |
Conductor |
82075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-14152136079921875 = -1 · 57 · 79 · 672 |
Discriminant |
Eigenvalues |
0 -3 5+ 7- -5 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-320950,70218531] |
[a1,a2,a3,a4,a6] |
Generators |
[455:-4288:1] [-231:11490:1] |
Generators of the group modulo torsion |
j |
-1988967038976/7698635 |
j-invariant |
L |
5.0541588016441 |
L(r)(E,1)/r! |
Ω |
0.39783268847448 |
Real period |
R |
0.39700725236014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16415c1 11725a1 |
Quadratic twists by: 5 -7 |