Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998s |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-197039112192 = -1 · 214 · 39 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -3 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121559,16343151] |
[a1,a2,a3,a4,a6] |
Generators |
[203:-138:1] |
Generators of the group modulo torsion |
j |
-272492272338400297/270286848 |
j-invariant |
L |
6.9948678808946 |
L(r)(E,1)/r! |
Ω |
0.84362928137749 |
Real period |
R |
0.29612143099638 |
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 |
87984bq1 3666e1 |
Quadratic twists by: -4 -3 |