Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81928l |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-3392839039744 = -1 · 28 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 11- 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-111691] |
[a1,a2,a3,a4,a6] |
Generators |
[2361:14014:27] |
Generators of the group modulo torsion |
j |
-2458624/2299 |
j-invariant |
L |
9.2719451079781 |
L(r)(E,1)/r! |
Ω |
0.30560523341622 |
Real period |
R |
2.5283012449621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81928w1 |
Quadratic twists by: -7 |