Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474ce |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-4304102406486959466 = -1 · 2 · 36 · 137 · 196 |
Discriminant |
Eigenvalues |
2- 3- 1 1 2 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-691022,-242412713] |
[a1,a2,a3,a4,a6] |
Generators |
[29739500:778583917:21952] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
12.942352126767 |
L(r)(E,1)/r! |
Ω |
0.082248869809393 |
Real period |
R |
11.23971338874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386f2 234a2 |
Quadratic twists by: -3 -19 |