Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320u |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-6056960 = -1 · 210 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,220] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-114244/35 |
j-invariant |
L |
4.3237435236904 |
L(r)(E,1)/r! |
Ω |
2.2619993267067 |
Real period |
R |
0.95573492720118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640a1 47320m1 |
Quadratic twists by: -4 13 |