Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10626q |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-8532911772 = -1 · 22 · 32 · 7 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3878,92736] |
[a1,a2,a3,a4,a6] |
j |
-6449916994998625/8532911772 |
j-invariant |
L |
5.2131866794059 |
L(r)(E,1)/r! |
Ω |
1.3032966698515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008bk1 31878u1 74382v1 116886k1 |
Quadratic twists by: -4 -3 -7 -11 |