Atkin-Lehner |
2+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040l |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-9644302720000 = -1 · 210 · 54 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23708,-1412968] |
[a1,a2,a3,a4,a6] |
Generators |
[181:475:1] |
Generators of the group modulo torsion |
j |
-1439158115978496/9418264375 |
j-invariant |
L |
7.012930202979 |
L(r)(E,1)/r! |
Ω |
0.19229854691707 |
Real period |
R |
2.0260539654737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040bo1 9880f1 |
Quadratic twists by: -4 8 |