Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496l |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-184939290311000064 = -1 · 233 · 3 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,140056,4546416] |
[a1,a2,a3,a4,a6] |
Generators |
[17045:639352:125] |
Generators of the group modulo torsion |
j |
74176411544797463/45151193923584 |
j-invariant |
L |
5.0635461238513 |
L(r)(E,1)/r! |
Ω |
0.19666345085168 |
Real period |
R |
6.4368164266453 |
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 |
2562g2 81984cm2 61488bh2 |
Quadratic twists by: -4 8 -3 |