Atkin-Lehner |
2+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040b |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-114133760000000 = -1 · 214 · 57 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2161,514735] |
[a1,a2,a3,a4,a6] |
Generators |
[69:836:1] |
Generators of the group modulo torsion |
j |
-68150496976/6966171875 |
j-invariant |
L |
4.1458945666836 |
L(r)(E,1)/r! |
Ω |
0.48618806535789 |
Real period |
R |
4.2636737320212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040bm1 9880k1 |
Quadratic twists by: -4 8 |