Atkin-Lehner |
3+ 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
122475c |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38080 |
Modular degree for the optimal curve |
Δ |
-76546875 = -1 · 3 · 56 · 23 · 71 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,92,-282] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
5451776/4899 |
j-invariant |
L |
2.5094766018904 |
L(r)(E,1)/r! |
Ω |
1.0620038162229 |
Real period |
R |
2.3629638570344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998729738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4899e1 |
Quadratic twists by: 5 |