Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400a |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-61516000000 = -1 · 28 · 56 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700,29500] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:191:1] |
Generators of the group modulo torsion |
j |
-135834624/15379 |
j-invariant |
L |
4.5346266125012 |
L(r)(E,1)/r! |
Ω |
1.0776503440877 |
Real period |
R |
4.2078830460917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18200d1 1456d1 |
Quadratic twists by: -4 5 |