Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43245c |
Isogeny class |
Conductor |
43245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8962635318135058935 = -1 · 37 · 5 · 3110 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,518760,7914811] |
[a1,a2,a3,a4,a6] |
Generators |
[170420:-9195901:64] |
Generators of the group modulo torsion |
j |
23862997439/13852815 |
j-invariant |
L |
2.6984072746725 |
L(r)(E,1)/r! |
Ω |
0.13915899877835 |
Real period |
R |
9.6954106394541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14415c4 1395a4 |
Quadratic twists by: -3 -31 |