Atkin-Lehner |
2+ 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10626b |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19712 |
Modular degree for the optimal curve |
Δ |
-835142171094 = -1 · 2 · 311 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ -1 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51,43947] |
[a1,a2,a3,a4,a6] |
j |
-15124197817/835142171094 |
j-invariant |
L |
1.4221206728682 |
L(r)(E,1)/r! |
Ω |
0.7110603364341 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85008ce1 31878bs1 74382m1 116886y1 |
Quadratic twists by: -4 -3 -7 -11 |