Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075j |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-9845980470703125 = -1 · 34 · 59 · 76 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20313,-4910844] |
[a1,a2,a3,a4,a6] |
Generators |
[270:2927:1] |
Generators of the group modulo torsion |
j |
-59323563117001/630142750125 |
j-invariant |
L |
2.3400529269266 |
L(r)(E,1)/r! |
Ω |
0.17340802935764 |
Real period |
R |
0.56227041879081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36225bn2 2415g2 84525cm2 |
Quadratic twists by: -3 5 -7 |