Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bw |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
478064521955284992 = 211 · 312 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4305136251,108724761767414] |
[a1,a2,a3,a4,a6] |
Generators |
[263543588087878:-377365718250:6956932429] |
Generators of the group modulo torsion |
j |
1224522642327678150914/66339 |
j-invariant |
L |
4.0161888775538 |
L(r)(E,1)/r! |
Ω |
0.11110272260307 |
Real period |
R |
18.074214494515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392b6 6552m5 |
Quadratic twists by: -3 13 |