Atkin-Lehner |
2- 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
26220k |
Isogeny class |
Conductor |
26220 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
5616 |
Modular degree for the optimal curve |
Δ |
-23598000 = -1 · 24 · 33 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,288] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:15:1] |
Generators of the group modulo torsion |
j |
-1927561216/1474875 |
j-invariant |
L |
6.6810343797083 |
L(r)(E,1)/r! |
Ω |
1.9605436389679 |
Real period |
R |
1.1359152714781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104880by1 78660m1 |
Quadratic twists by: -4 -3 |