Atkin-Lehner |
2- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
81340a |
Isogeny class |
Conductor |
81340 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
139104 |
Modular degree for the optimal curve |
Δ |
-76556557280000 = -1 · 28 · 54 · 78 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 4 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3659,411041] |
[a1,a2,a3,a4,a6] |
Generators |
[538:7825:8] |
Generators of the group modulo torsion |
j |
3670016/51875 |
j-invariant |
L |
4.3157723083289 |
L(r)(E,1)/r! |
Ω |
0.45349623865459 |
Real period |
R |
4.7583330807095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81340g1 |
Quadratic twists by: -7 |