Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4655h |
Isogeny class |
Conductor |
4655 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-1486495115 = -1 · 5 · 77 · 192 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- -3 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4753,126138] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:465:1] [-21:465:1] |
Generators of the group modulo torsion |
j |
-100934332416/12635 |
j-invariant |
L |
1.6325963669817 |
L(r)(E,1)/r! |
Ω |
1.4544434289864 |
Real period |
R |
0.14031109206845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480bv1 41895bm1 23275q1 665e1 |
Quadratic twists by: -4 -3 5 -7 |