Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200cn |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-41705040799872000 = -1 · 210 · 318 · 53 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-316155,-69124250] |
[a1,a2,a3,a4,a6] |
Generators |
[1513343:13883076:2197] |
Generators of the group modulo torsion |
j |
-37452979934132/446941881 |
j-invariant |
L |
5.3256715119808 |
L(r)(E,1)/r! |
Ω |
0.1005972042187 |
Real period |
R |
6.6175689888244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400cm2 17400s2 52200bh2 |
Quadratic twists by: -4 -3 5 |