Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128t |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13659658518528 = 219 · 38 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2710977,-1718958177] |
[a1,a2,a3,a4,a6] |
Generators |
[1371705:-141978564:125] |
Generators of the group modulo torsion |
j |
8405459297332260337/52107462 |
j-invariant |
L |
8.2754798432359 |
L(r)(E,1)/r! |
Ω |
0.11765708469173 |
Real period |
R |
8.7919480846793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bm6 1254h5 120384bv6 |
Quadratic twists by: -4 8 -3 |