Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950cf |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-1.8378594559737E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11- -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10118688,-12560315008] |
[a1,a2,a3,a4,a6] |
Generators |
[7572376:1108941912:343] |
Generators of the group modulo torsion |
j |
-4139236042638481/66395120000 |
j-invariant |
L |
10.393436599949 |
L(r)(E,1)/r! |
Ω |
0.042283868320083 |
Real period |
R |
8.7786235726298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990m1 10450g1 |
Quadratic twists by: 5 -11 |