Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136c |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
831250369916928 = 212 · 39 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45900,-3521664] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:260:1] [-123:513:1] |
Generators of the group modulo torsion |
j |
132651000000/10310521 |
j-invariant |
L |
9.1086370160401 |
L(r)(E,1)/r! |
Ω |
0.32777776976946 |
Real period |
R |
3.4736328452532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136a2 71136w2 |
Quadratic twists by: -4 -3 |