Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675u |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-22839816436171875 = -1 · 310 · 57 · 7 · 294 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6520,-7269978] |
[a1,a2,a3,a4,a6] |
Generators |
[2262:31965:8] |
Generators of the group modulo torsion |
j |
2691419471/2005141635 |
j-invariant |
L |
4.1322814153246 |
L(r)(E,1)/r! |
Ω |
0.17759641107253 |
Real period |
R |
5.8169551264517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15225d4 9135g4 |
Quadratic twists by: -3 5 |