Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080gj |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
2033182726272000 = 210 · 318 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52752,-4128104] |
[a1,a2,a3,a4,a6] |
Generators |
[582:12740:1] |
Generators of the group modulo torsion |
j |
21747684130816/2723635125 |
j-invariant |
L |
9.1497688668419 |
L(r)(E,1)/r! |
Ω |
0.3176127586915 |
Real period |
R |
4.8013231289955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999569656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080cz1 29520br1 39360cl1 |
Quadratic twists by: -4 8 -3 |