Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2925n |
Isogeny class |
Conductor |
2925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-273650596171875 = -1 · 313 · 57 · 133 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 1 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-42825,-3502719] |
[a1,a2,a3,a4,a6] |
Generators |
[3970:78971:8] |
Generators of the group modulo torsion |
j |
-762549907456/24024195 |
j-invariant |
L |
5.8416290186841 |
L(r)(E,1)/r! |
Ω |
0.16563044364855 |
Real period |
R |
1.4695439060002 |
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 |
46800ee1 975i1 585e1 38025bs1 |
Quadratic twists by: -4 -3 5 13 |