Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075k |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-4716796875 = -1 · 3 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 0 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,-3432] |
[a1,a2,a3,a4,a6] |
Generators |
[23:58:1] |
Generators of the group modulo torsion |
j |
-102400/483 |
j-invariant |
L |
2.0024330596143 |
L(r)(E,1)/r! |
Ω |
0.56886421476757 |
Real period |
R |
3.5200545360944 |
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 |
36225bq1 12075u1 84525cq1 |
Quadratic twists by: -3 5 -7 |