Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34608l |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6387806208 = -1 · 212 · 3 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,3840] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:26:1] [-8:56:1] |
Generators of the group modulo torsion |
j |
103823/1559523 |
j-invariant |
L |
6.3765224231016 |
L(r)(E,1)/r! |
Ω |
1.0558106364613 |
Real period |
R |
1.5098641278309 |
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 |
2163e2 103824bn2 |
Quadratic twists by: -4 -3 |