Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
832c |
Isogeny class |
Conductor |
832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1744830464 = -1 · 227 · 13 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 -6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29409,-1931423] |
[a1,a2,a3,a4,a6] |
Generators |
[649:15872:1] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
2.1713281808024 |
L(r)(E,1)/r! |
Ω |
0.18228387316981 |
Real period |
R |
2.9779488210397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
832g3 26a2 7488t3 20800v3 |
Quadratic twists by: -4 8 -3 5 |