Atkin-Lehner |
2- 3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
21624f |
Isogeny class |
Conductor |
21624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-330068736 = -1 · 28 · 33 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,909] |
[a1,a2,a3,a4,a6] |
Generators |
[23:106:1] |
Generators of the group modulo torsion |
j |
-81415168/1289331 |
j-invariant |
L |
3.9142105390058 |
L(r)(E,1)/r! |
Ω |
1.4469280055803 |
Real period |
R |
0.67629669961292 |
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 |
43248f1 64872d1 |
Quadratic twists by: -4 -3 |