Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55860b |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3048192 |
Modular degree for the optimal curve |
Δ |
-5.6497433891102E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4949261,-5569576935] |
[a1,a2,a3,a4,a6] |
Generators |
[2539649:206840250:343] |
Generators of the group modulo torsion |
j |
-185406307803136/78128296875 |
j-invariant |
L |
4.7507783406235 |
L(r)(E,1)/r! |
Ω |
0.049588191927609 |
Real period |
R |
7.9837191003879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55860bb1 |
Quadratic twists by: -7 |