Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616o |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-11325888 = -1 · 26 · 32 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14,168] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] [2:12:1] |
Generators of the group modulo torsion |
j |
-5088448/176967 |
j-invariant |
L |
6.3123809996228 |
L(r)(E,1)/r! |
Ω |
1.8904230182422 |
Real period |
R |
1.6695683819729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35616y1 71232cz1 106848j1 |
Quadratic twists by: -4 8 -3 |