Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150b |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
434928946289062500 = 22 · 39 · 512 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-261942,-40626784] |
[a1,a2,a3,a4,a6] |
Generators |
[-248006:-1604122:1331] |
Generators of the group modulo torsion |
j |
6462919457883/1414187500 |
j-invariant |
L |
5.5296951456854 |
L(r)(E,1)/r! |
Ω |
0.21431887562707 |
Real period |
R |
6.4503128014938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150el1 16830bk3 |
Quadratic twists by: -3 5 |