Atkin-Lehner |
2- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
108836c |
Isogeny class |
Conductor |
108836 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-9576857372316416 = -1 · 28 · 72 · 137 · 233 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31997,5187599] |
[a1,a2,a3,a4,a6] |
Generators |
[914:27209:1] |
Generators of the group modulo torsion |
j |
-2932006912/7750379 |
j-invariant |
L |
5.5400940355977 |
L(r)(E,1)/r! |
Ω |
0.36117853680632 |
Real period |
R |
0.63912228535132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999835266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372e1 |
Quadratic twists by: 13 |