Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24080s |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-425609113108480000 = -1 · 230 · 54 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45960,31631600] |
[a1,a2,a3,a4,a6] |
Generators |
[410:9030:1] |
Generators of the group modulo torsion |
j |
-2621279152968841/103908474880000 |
j-invariant |
L |
8.3041106181171 |
L(r)(E,1)/r! |
Ω |
0.24800201655805 |
Real period |
R |
1.3951685308463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3010b1 96320bo1 120400ba1 |
Quadratic twists by: -4 8 5 |