Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040bo |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
6 |
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 |
[69:325:1] |
Generators of the group modulo torsion |
j |
-1439158115978496/9418264375 |
j-invariant |
L |
4.3041799373793 |
L(r)(E,1)/r! |
Ω |
0.73096185964873 |
Real period |
R |
0.98139637956063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040l1 19760h1 |
Quadratic twists by: -4 8 |