Atkin-Lehner |
2+ 3- 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266l |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-498305350805157504 = -1 · 27 · 315 · 74 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-292230,-69573708] |
[a1,a2,a3,a4,a6] |
j |
-3785919836794512481/683546434574976 |
j-invariant |
L |
0.81336279662993 |
L(r)(E,1)/r! |
Ω |
0.10167034960727 |
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 |
16422y1 |
Quadratic twists by: -3 |