Atkin-Lehner |
5+ 13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127075a |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15696 |
Modular degree for the optimal curve |
Δ |
-127075 = -1 · 52 · 13 · 17 · 23 |
Discriminant |
Eigenvalues |
2 2 5+ 2 4 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[152281829334:32393010779:37326677688] |
Generators of the group modulo torsion |
j |
-2560000/5083 |
j-invariant |
L |
23.741421460999 |
L(r)(E,1)/r! |
Ω |
1.3204951569521 |
Real period |
R |
17.979181074472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999689122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127075l1 |
Quadratic twists by: 5 |