Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075s |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4132027265625 = 33 · 57 · 7 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-126276,17260573] |
[a1,a2,a3,a4,a6] |
j |
14251520160844849/264449745 |
j-invariant |
L |
4.305481758281 |
L(r)(E,1)/r! |
Ω |
0.71758029304684 |
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 |
36225bp4 2415a3 84525r4 |
Quadratic twists by: -3 5 -7 |