Atkin-Lehner |
2+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550a |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-3052692550 = -1 · 2 · 52 · 175 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 -3 4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28277,-1823149] |
[a1,a2,a3,a4,a6] |
Generators |
[1531654159:3235871027339:343] |
Generators of the group modulo torsion |
j |
-100021263902725905/122107702 |
j-invariant |
L |
3.5350533118856 |
L(r)(E,1)/r! |
Ω |
0.18408163977346 |
Real period |
R |
19.203725674304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36550bf1 |
Quadratic twists by: 5 |