Atkin-Lehner |
2+ 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10626f |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-2225976984 = -1 · 23 · 33 · 7 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2327,43058] |
[a1,a2,a3,a4,a6] |
j |
-1392658229178217/2225976984 |
j-invariant |
L |
2.9203730093749 |
L(r)(E,1)/r! |
Ω |
1.4601865046874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85008bh1 31878bp1 74382e1 116886br1 |
Quadratic twists by: -4 -3 -7 -11 |