Atkin-Lehner |
5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2275d |
Isogeny class |
Conductor |
2275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
60962890625 = 59 · 74 · 13 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1255,12622] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:181:1] |
Generators of the group modulo torsion |
j |
13980103929/3901625 |
j-invariant |
L |
2.0035928041324 |
L(r)(E,1)/r! |
Ω |
1.0330968143824 |
Real period |
R |
1.9394046871882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36400bj1 20475z1 455a1 15925g1 |
Quadratic twists by: -4 -3 5 -7 |