Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200bi |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-8576000 = -1 · 210 · 53 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,143] |
[a1,a2,a3,a4,a6] |
Generators |
[2:13:1] |
Generators of the group modulo torsion |
j |
256/67 |
j-invariant |
L |
7.78207690205 |
L(r)(E,1)/r! |
Ω |
1.7975518786066 |
Real period |
R |
2.1646320773229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200cz1 6700h1 107200bd1 |
Quadratic twists by: -4 8 5 |