Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2622b |
Isogeny class |
Conductor |
2622 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
11616 |
Modular degree for the optimal curve |
Δ |
-25387648155648 = -1 · 222 · 36 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 6 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18259,972497] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:1230:1] |
Generators of the group modulo torsion |
j |
-673218690226274737/25387648155648 |
j-invariant |
L |
3.5898407541628 |
L(r)(E,1)/r! |
Ω |
0.66610444694837 |
Real period |
R |
0.24496845874881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20976k1 83904q1 7866f1 65550u1 |
Quadratic twists by: -4 8 -3 5 |