Atkin-Lehner |
2+ 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10626a |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
36583447824 = 24 · 36 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1081,9685] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:163:1] |
Generators of the group modulo torsion |
j |
139903436105497/36583447824 |
j-invariant |
L |
2.0174281387232 |
L(r)(E,1)/r! |
Ω |
1.0819770579943 |
Real period |
R |
0.93228785389539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85008cg2 31878bb2 74382s2 116886bh2 |
Quadratic twists by: -4 -3 -7 -11 |