Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
2838d |
Isogeny class |
Conductor |
2838 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-579905568 = -1 · 25 · 34 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,82,-1116] |
[a1,a2,a3,a4,a6] |
Generators |
[16:58:1] |
Generators of the group modulo torsion |
j |
60930425375/579905568 |
j-invariant |
L |
5.0562160811237 |
L(r)(E,1)/r! |
Ω |
0.80742664191452 |
Real period |
R |
0.31310683959689 |
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 |
22704bb2 90816t2 8514c2 70950d2 |
Quadratic twists by: -4 8 -3 5 |