Atkin-Lehner |
2- 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86768n |
Isogeny class |
Conductor |
86768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-244338688 = -1 · 212 · 112 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 0 0 -3 11- -7 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1235,16722] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:134:1] [23:22:1] |
Generators of the group modulo torsion |
j |
-50858627625/59653 |
j-invariant |
L |
9.5525311144781 |
L(r)(E,1)/r! |
Ω |
1.7503469836147 |
Real period |
R |
1.3643767784653 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5423a1 |
Quadratic twists by: -4 |