Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12075d |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
91128515625 = 32 · 58 · 72 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6713,208406] |
[a1,a2,a3,a4,a6] |
Generators |
[20:277:1] |
Generators of the group modulo torsion |
j |
2141202151369/5832225 |
j-invariant |
L |
1.7026430057909 |
L(r)(E,1)/r! |
Ω |
1.0756216895273 |
Real period |
R |
0.79146926022811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36225bi2 2415e2 84525ca2 |
Quadratic twists by: -3 5 -7 |