Atkin-Lehner |
2- 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8294f |
Isogeny class |
Conductor |
8294 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-3462635386496 = -1 · 27 · 114 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 1 1 -3 11- 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1530,-92572] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1214:1] |
Generators of the group modulo torsion |
j |
-396109944105121/3462635386496 |
j-invariant |
L |
7.1197810533017 |
L(r)(E,1)/r! |
Ω |
0.33464826365291 |
Real period |
R |
0.37991814447977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66352f1 74646j1 91234m1 107822a1 |
Quadratic twists by: -4 -3 -11 13 |