Atkin-Lehner |
2- 3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22620k |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
893207250000 = 24 · 36 · 56 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6505,194600] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:375:1] |
Generators of the group modulo torsion |
j |
1902884346904576/55825453125 |
j-invariant |
L |
5.8613969900185 |
L(r)(E,1)/r! |
Ω |
0.88270549529789 |
Real period |
R |
1.1067105660272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90480bj1 67860n1 113100c1 |
Quadratic twists by: -4 -3 5 |