Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
6390i |
Isogeny class |
Conductor |
6390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
121310156250 = 2 · 37 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20565,-1129869] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:50:1] |
Generators of the group modulo torsion |
j |
1319453848668241/166406250 |
j-invariant |
L |
2.3367903747694 |
L(r)(E,1)/r! |
Ω |
0.39867561504917 |
Real period |
R |
2.9306913773509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120ba4 2130o4 31950co4 |
Quadratic twists by: -4 -3 5 |