Atkin-Lehner |
11+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121847a |
Isogeny class |
Conductor |
121847 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
427680 |
Modular degree for the optimal curve |
Δ |
-6669839389467133 = -1 · 119 · 19 · 533 |
Discriminant |
Eigenvalues |
-1 0 0 -1 11+ 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17885,-3824400] |
[a1,a2,a3,a4,a6] |
Generators |
[1360:49664:1] |
Generators of the group modulo torsion |
j |
268336125/2828663 |
j-invariant |
L |
3.0272083761264 |
L(r)(E,1)/r! |
Ω |
0.20778715805663 |
Real period |
R |
7.2843971085297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121847c1 |
Quadratic twists by: -11 |