Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478ch |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
55814400 |
Modular degree for the optimal curve |
Δ |
-1.3905123542706E+28 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,442000390,4403868148815] |
[a1,a2,a3,a4,a6] |
j |
771321318129938375/1123100229130902 |
j-invariant |
L |
0.80644043117978 |
L(r)(E,1)/r! |
Ω |
0.026881348718482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826a1 71478be1 |
Quadratic twists by: -3 -19 |