Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924j |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-36568980860418864 = -1 · 24 · 316 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117624,-18048355] |
[a1,a2,a3,a4,a6] |
Generators |
[8180769557991174664:9817476596821088975:20267815809761792] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
7.3641457505571 |
L(r)(E,1)/r! |
Ω |
0.12750418403353 |
Real period |
R |
28.878055283119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22308b1 396a1 |
Quadratic twists by: -3 13 |