Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930x |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15171169143690000 = 24 · 36 · 54 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-217977,-38811051] |
[a1,a2,a3,a4,a6] |
j |
9735776569434889/128952810000 |
j-invariant |
L |
1.7690279131392 |
L(r)(E,1)/r! |
Ω |
0.2211284891424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83790es2 3990m2 |
Quadratic twists by: -3 -7 |