Atkin-Lehner |
2+ 3+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760g |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
71760 = 24 · 3 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1495,-21758] |
[a1,a2,a3,a4,a6] |
Generators |
[2948:4521:64] |
Generators of the group modulo torsion |
j |
23110948673536/4485 |
j-invariant |
L |
5.3687441971677 |
L(r)(E,1)/r! |
Ω |
0.76774156934081 |
Real period |
R |
6.9929054418051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999992731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880g1 |
Quadratic twists by: -4 |