Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074b |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3078804663015048 = -1 · 23 · 32 · 116 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11710,-2718692] |
[a1,a2,a3,a4,a6] |
Generators |
[241:2800:1] [307:4615:1] |
Generators of the group modulo torsion |
j |
-7357983625/127552392 |
j-invariant |
L |
4.6391461165179 |
L(r)(E,1)/r! |
Ω |
0.19332307481885 |
Real period |
R |
1.9997380554392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222bh4 66a4 |
Quadratic twists by: -3 17 |