Atkin-Lehner |
2+ 7+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
102256c |
Isogeny class |
Conductor |
102256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
2864963922128 = 24 · 73 · 11 · 834 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3554,4307] |
[a1,a2,a3,a4,a6] |
Generators |
[-315879498:-2216631781:7762392] |
Generators of the group modulo torsion |
j |
310281584007168/179060245133 |
j-invariant |
L |
7.9462546931487 |
L(r)(E,1)/r! |
Ω |
0.68406064161655 |
Real period |
R |
11.616301547481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51128e1 |
Quadratic twists by: -4 |