Atkin-Lehner |
2- 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710x |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-282230784000 = -1 · 218 · 33 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,478,25121] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:127:1] |
Generators of the group modulo torsion |
j |
448224034077/10452992000 |
j-invariant |
L |
9.8958354002641 |
L(r)(E,1)/r! |
Ω |
0.7313202963348 |
Real period |
R |
1.1276221296674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28710d2 |
Quadratic twists by: -3 |