Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10626o |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-9694992384 = -1 · 211 · 35 · 7 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-116,4752] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-68:1] |
Generators of the group modulo torsion |
j |
-172715635009/9694992384 |
j-invariant |
L |
7.5445137888771 |
L(r)(E,1)/r! |
Ω |
1.0695574318133 |
Real period |
R |
0.064126045923042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85008br1 31878e1 74382bh1 116886v1 |
Quadratic twists by: -4 -3 -7 -11 |