Atkin-Lehner |
2- 3- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12126g |
Isogeny class |
Conductor |
12126 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
96554778624 = 216 · 36 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -2 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2445,-44271] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:63:1] |
Generators of the group modulo torsion |
j |
1616483976716881/96554778624 |
j-invariant |
L |
7.889268719583 |
L(r)(E,1)/r! |
Ω |
0.6814716786956 |
Real period |
R |
0.12059177962165 |
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 |
97008u1 36378c1 |
Quadratic twists by: -4 -3 |