Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55224n |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
724219257319623936 = 28 · 317 · 135 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 0 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700788,222058964] |
[a1,a2,a3,a4,a6] |
Generators |
[604:4374:1] |
Generators of the group modulo torsion |
j |
203946467835083776/3880633023189 |
j-invariant |
L |
3.149687016653 |
L(r)(E,1)/r! |
Ω |
0.28540796074858 |
Real period |
R |
1.3794670479252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448l1 18408a1 |
Quadratic twists by: -4 -3 |