Atkin-Lehner |
2- 3+ 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370x |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.4957002172395E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7348095,-11822442393] |
[a1,a2,a3,a4,a6] |
Generators |
[314270410482:-124704870452819:2000376] |
Generators of the group modulo torsion |
j |
-43878119156148609331962481/34957002172395214811250 |
j-invariant |
L |
7.2500466380244 |
L(r)(E,1)/r! |
Ω |
0.044335416987379 |
Real period |
R |
20.440900105012 |
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 |
97110k3 |
Quadratic twists by: -3 |