Atkin-Lehner |
5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120185c |
Isogeny class |
Conductor |
120185 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-32668519775894795 = -1 · 5 · 13 · 439 |
Discriminant |
Eigenvalues |
1 -1 5- -2 2 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7358,8695739] |
[a1,a2,a3,a4,a6] |
Generators |
[43698:1741061:27] |
Generators of the group modulo torsion |
j |
6967871/5167955 |
j-invariant |
L |
5.5702240977101 |
L(r)(E,1)/r! |
Ω |
0.28811077581536 |
Real period |
R |
9.6668099273845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997882193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2795a1 |
Quadratic twists by: -43 |