Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448l |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2027520 |
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 |
[-8267665355265:31559303351713:17881958375] |
Generators of the group modulo torsion |
j |
203946467835083776/3880633023189 |
j-invariant |
L |
7.1632187876181 |
L(r)(E,1)/r! |
Ω |
0.16519800205346 |
Real period |
R |
21.680706481244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55224n1 36816c1 |
Quadratic twists by: -4 -3 |