Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12075r |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-47925675 = -1 · 35 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 4 -6 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7,-331] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
1310720/1917027 |
j-invariant |
L |
4.8006835105295 |
L(r)(E,1)/r! |
Ω |
0.93557007365425 |
Real period |
R |
0.34208615301104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36225bv1 12075n1 84525k1 |
Quadratic twists by: -3 5 -7 |