Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502bm |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1938700526438380716 = -1 · 22 · 310 · 119 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,123034,-64929279] |
[a1,a2,a3,a4,a6] |
Generators |
[701:18765:1] |
Generators of the group modulo torsion |
j |
119823157/1127844 |
j-invariant |
L |
9.6332926757398 |
L(r)(E,1)/r! |
Ω |
0.12988053076104 |
Real period |
R |
2.3178253632111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000102732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834b2 128502j2 |
Quadratic twists by: -3 -11 |