Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080de |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-18717736960 = -1 · 217 · 5 · 134 |
Discriminant |
Eigenvalues |
2- 2 5- -3 -5 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,6785] |
[a1,a2,a3,a4,a6] |
Generators |
[32:177:1] |
Generators of the group modulo torsion |
j |
-338/5 |
j-invariant |
L |
7.8363860605989 |
L(r)(E,1)/r! |
Ω |
1.0348804184639 |
Real period |
R |
3.786131190016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080bq1 13520f1 54080cg1 |
Quadratic twists by: -4 8 13 |