Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470r |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-5.557930940548E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1588209,1371548465] |
[a1,a2,a3,a4,a6] |
Generators |
[1456:-47033:1] |
Generators of the group modulo torsion |
j |
-788101442546067/988663371500 |
j-invariant |
L |
5.5118797176992 |
L(r)(E,1)/r! |
Ω |
0.14822524545897 |
Real period |
R |
0.28171088100067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470dl1 106470dg1 |
Quadratic twists by: -3 13 |