Atkin-Lehner |
2- 3- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
24282i |
Isogeny class |
Conductor |
24282 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
-4898160377856 = -1 · 218 · 36 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29171,1927891] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:1268:1] [187:1634:1] |
Generators of the group modulo torsion |
j |
-3765617279085033/6719012864 |
j-invariant |
L |
9.4998620853325 |
L(r)(E,1)/r! |
Ω |
0.76957796971907 |
Real period |
R |
0.34289580563528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2698a1 |
Quadratic twists by: -3 |