Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075i |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4251856056328125 = -1 · 34 · 57 · 74 · 234 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,40500,50625] |
[a1,a2,a3,a4,a6] |
Generators |
[0:225:1] |
Generators of the group modulo torsion |
j |
470166844956479/272118787605 |
j-invariant |
L |
4.6006509901413 |
L(r)(E,1)/r! |
Ω |
0.26176238522916 |
Real period |
R |
2.1969595565238 |
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 |
36225bo3 2415h4 84525cj3 |
Quadratic twists by: -3 5 -7 |