Atkin-Lehner |
11+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121847b |
Isogeny class |
Conductor |
121847 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1787904 |
Modular degree for the optimal curve |
Δ |
-494086672741310891 = -1 · 113 · 196 · 534 |
Discriminant |
Eigenvalues |
-2 1 1 2 11+ 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-219490,51987018] |
[a1,a2,a3,a4,a6] |
Generators |
[2586:30895:8] |
Generators of the group modulo torsion |
j |
-878601318786584576/371214630158761 |
j-invariant |
L |
5.2302858152609 |
L(r)(E,1)/r! |
Ω |
0.27592776738539 |
Real period |
R |
2.3694089743515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121847d1 |
Quadratic twists by: -11 |