Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63480i |
Isogeny class |
Conductor |
63480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
919302870690000 = 24 · 33 · 54 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68439551,-217903084824] |
[a1,a2,a3,a4,a6] |
Generators |
[-122645692302799019220531159604795:-55555266564272770601658801119:25679703263099134639900658309] |
Generators of the group modulo torsion |
j |
14967807005098080256/388125 |
j-invariant |
L |
4.541789498533 |
L(r)(E,1)/r! |
Ω |
0.05248953993374 |
Real period |
R |
43.263757924144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126960m1 2760f1 |
Quadratic twists by: -4 -23 |