Atkin-Lehner |
2- 3- 5- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
36210p |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
1177277625000 = 23 · 33 · 56 · 173 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6595,-199975] |
[a1,a2,a3,a4,a6] |
Generators |
[-410:715:8] |
Generators of the group modulo torsion |
j |
31722852180066481/1177277625000 |
j-invariant |
L |
11.705526006924 |
L(r)(E,1)/r! |
Ω |
0.53098970548047 |
Real period |
R |
1.2247073599971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
108630d1 |
Quadratic twists by: -3 |