Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79497j |
Isogeny class |
Conductor |
79497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
924010462184337 = 310 · 118 · 73 |
Discriminant |
Eigenvalues |
-1 3- -2 4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203666,35397992] |
[a1,a2,a3,a4,a6] |
Generators |
[294:784:1] |
Generators of the group modulo torsion |
j |
723425270833/715473 |
j-invariant |
L |
2.7799109062099 |
L(r)(E,1)/r! |
Ω |
0.49454651517862 |
Real period |
R |
2.8105656630206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26499i1 7227e1 |
Quadratic twists by: -3 -11 |