Atkin-Lehner |
2+ 5- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35960c |
Isogeny class |
Conductor |
35960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-5753600 = -1 · 28 · 52 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 -1 -4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292,1924] |
[a1,a2,a3,a4,a6] |
Generators |
[8:10:1] [-10:62:1] |
Generators of the group modulo torsion |
j |
-10755542016/22475 |
j-invariant |
L |
5.3180630726172 |
L(r)(E,1)/r! |
Ω |
2.403975403301 |
Real period |
R |
0.27652441167417 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71920e1 |
Quadratic twists by: -4 |