Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10626l |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
140666577176907936 = 25 · 36 · 7 · 11 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9585862,11419378211] |
[a1,a2,a3,a4,a6] |
Generators |
[1795:-333:1] |
Generators of the group modulo torsion |
j |
97413070452067229637409633/140666577176907936 |
j-invariant |
L |
6.3670131105028 |
L(r)(E,1)/r! |
Ω |
0.27797184195204 |
Real period |
R |
4.5810489766092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008ck4 31878g4 74382bv4 116886f4 |
Quadratic twists by: -4 -3 -7 -11 |