Atkin-Lehner |
5+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84175a |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-102752685546875 = -1 · 515 · 7 · 13 · 37 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3117,482043] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:687:1] |
Generators of the group modulo torsion |
j |
214276603904/6576171875 |
j-invariant |
L |
2.8909334360336 |
L(r)(E,1)/r! |
Ω |
0.449718949013 |
Real period |
R |
3.2141556910606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16835f1 |
Quadratic twists by: 5 |