Atkin-Lehner |
3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27825g |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
491872277523375 = 35 · 53 · 78 · 532 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19735,5650] |
[a1,a2,a3,a4,a6] |
j |
6800791740379181/3934978220187 |
j-invariant |
L |
3.5456780633992 |
L(r)(E,1)/r! |
Ω |
0.44320975792493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83475bo2 27825u2 |
Quadratic twists by: -3 5 |