Atkin-Lehner |
2- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
18128c |
Isogeny class |
Conductor |
18128 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-437399055104 = -1 · 28 · 115 · 1032 |
Discriminant |
Eigenvalues |
2- 1 -1 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1299,26663] |
[a1,a2,a3,a4,a6] |
Generators |
[19:242:1] |
Generators of the group modulo torsion |
j |
946186674176/1708590059 |
j-invariant |
L |
6.2047524654682 |
L(r)(E,1)/r! |
Ω |
0.64620201554495 |
Real period |
R |
0.4800938650923 |
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 |
4532a1 72512q1 |
Quadratic twists by: -4 8 |