Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5936o |
Isogeny class |
Conductor |
5936 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
575133165775952 = 24 · 714 · 53 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-274532,-55353265] |
[a1,a2,a3,a4,a6] |
Generators |
[-153976:49049:512] |
Generators of the group modulo torsion |
j |
143015349373955260416/35945822860997 |
j-invariant |
L |
2.8974196096912 |
L(r)(E,1)/r! |
Ω |
0.20857289135883 |
Real period |
R |
3.969040122157 |
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 |
1484b1 23744bk1 53424ca1 41552bc1 |
Quadratic twists by: -4 8 -3 -7 |