Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128m |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-324115702776594432 = -1 · 221 · 34 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,162943,-10511487] |
[a1,a2,a3,a4,a6] |
Generators |
[1121:39744:1] |
Generators of the group modulo torsion |
j |
1825106655603743/1236403285128 |
j-invariant |
L |
4.8500291271487 |
L(r)(E,1)/r! |
Ω |
0.17304818568853 |
Real period |
R |
3.5033805092004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40128br3 1254i4 120384bc3 |
Quadratic twists by: -4 8 -3 |