Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064i |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-296662940660736 = -1 · 210 · 35 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 6 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16168,251616] |
[a1,a2,a3,a4,a6] |
Generators |
[316:6084:1] |
Generators of the group modulo torsion |
j |
94559612/60021 |
j-invariant |
L |
5.4874907007995 |
L(r)(E,1)/r! |
Ω |
0.3397978269332 |
Real period |
R |
0.40373203323717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5928m1 |
Quadratic twists by: 13 |