Atkin-Lehner |
3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13545d |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
35555625 = 33 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -6 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107,-286] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] [-6:13:1] |
Generators of the group modulo torsion |
j |
4973940243/1316875 |
j-invariant |
L |
4.5679980626639 |
L(r)(E,1)/r! |
Ω |
1.5147779506246 |
Real period |
R |
0.75390555770553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13545b1 67725b1 94815d1 |
Quadratic twists by: -3 5 -7 |