Atkin-Lehner |
2+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506g |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-505537245136 = -1 · 24 · 7 · 11 · 177 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 11+ -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1969,-6787] |
[a1,a2,a3,a4,a6] |
Generators |
[13:138:1] [34:297:1] |
Generators of the group modulo torsion |
j |
34965783/20944 |
j-invariant |
L |
5.6152404333663 |
L(r)(E,1)/r! |
Ω |
0.54177074218519 |
Real period |
R |
1.295575784214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2618b1 |
Quadratic twists by: 17 |