Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
10458p |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-773584651158552576 = -1 · 230 · 311 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,891,42316501] |
[a1,a2,a3,a4,a6] |
j |
107239576751/1061158643564544 |
j-invariant |
L |
1.8013729414732 |
L(r)(E,1)/r! |
Ω |
0.22517161768415 |
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 |
83664bl1 3486i1 73206h1 |
Quadratic twists by: -4 -3 -7 |