Atkin-Lehner |
3- 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114513i |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-5383910792003499 = -1 · 34 · 78 · 193 · 412 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ 1 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-165719,-26218788] |
[a1,a2,a3,a4,a6] |
j |
-87308488098097/933928299 |
j-invariant |
L |
2.8376626348074 |
L(r)(E,1)/r! |
Ω |
0.1182359654755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114513h1 |
Quadratic twists by: -7 |