Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450m |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1329336552881250000 = 24 · 320 · 58 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1119942,-452520284] |
[a1,a2,a3,a4,a6] |
j |
13638385797303961/116704443600 |
j-invariant |
L |
1.1746671810607 |
L(r)(E,1)/r! |
Ω |
0.14683339763252 |
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 |
9150p2 5490r2 |
Quadratic twists by: -3 5 |