Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2925j |
Isogeny class |
Conductor |
2925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-360362925 = -1 · 38 · 52 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 1 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410,3422] |
[a1,a2,a3,a4,a6] |
Generators |
[0:58:1] |
Generators of the group modulo torsion |
j |
-417267265/19773 |
j-invariant |
L |
1.9628926752244 |
L(r)(E,1)/r! |
Ω |
1.6828043815597 |
Real period |
R |
0.19440689766974 |
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 |
46800ef1 975h1 2925q1 38025bf1 |
Quadratic twists by: -4 -3 5 13 |