Atkin-Lehner |
3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22575r |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11712 |
Modular degree for the optimal curve |
Δ |
-106666875 = -1 · 34 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 5 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8,494] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-53:1] |
Generators of the group modulo torsion |
j |
-102400/170667 |
j-invariant |
L |
3.3688950981404 |
L(r)(E,1)/r! |
Ω |
1.5150200857838 |
Real period |
R |
0.092652652203329 |
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 |
67725be1 22575h1 |
Quadratic twists by: -3 5 |