Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496j |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-25096123551744 = -1 · 212 · 315 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 2 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-710536,230767024] |
[a1,a2,a3,a4,a6] |
Generators |
[498:422:1] |
Generators of the group modulo torsion |
j |
-9685513163415099529/6126983289 |
j-invariant |
L |
3.9532578202971 |
L(r)(E,1)/r! |
Ω |
0.55433660458524 |
Real period |
R |
3.5657557047445 |
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 |
1281e1 81984ch1 61488bd1 |
Quadratic twists by: -4 8 -3 |