Atkin-Lehner |
5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2275g |
Isogeny class |
Conductor |
2275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
13456625 = 53 · 72 · 133 |
Discriminant |
Eigenvalues |
1 2 5- 7- 6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-240,-1525] |
[a1,a2,a3,a4,a6] |
j |
12310389629/107653 |
j-invariant |
L |
3.638830094698 |
L(r)(E,1)/r! |
Ω |
1.2129433648993 |
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 |
36400cq1 20475bi1 2275f1 15925u1 |
Quadratic twists by: -4 -3 5 -7 |