Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998f |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-1731789072 = -1 · 24 · 311 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 1 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-432,-3888] |
[a1,a2,a3,a4,a6] |
Generators |
[36:144:1] |
Generators of the group modulo torsion |
j |
-12246522625/2375568 |
j-invariant |
L |
2.9384346689456 |
L(r)(E,1)/r! |
Ω |
0.51811149694493 |
Real period |
R |
0.70892913163292 |
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 |
87984ba1 3666m1 |
Quadratic twists by: -4 -3 |