Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742bf |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
746035239670386732 = 22 · 39 · 112 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-229421,7931305] |
[a1,a2,a3,a4,a6] |
Generators |
[-2666:56345:8] |
Generators of the group modulo torsion |
j |
458314011/256036 |
j-invariant |
L |
9.2922980985094 |
L(r)(E,1)/r! |
Ω |
0.24616062395573 |
Real period |
R |
4.7186151890805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742f2 4554v2 |
Quadratic twists by: -3 -23 |