Atkin-Lehner |
3- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103443f |
Isogeny class |
Conductor |
103443 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-18324617121 = -1 · 312 · 292 · 41 |
Discriminant |
Eigenvalues |
-1 3- -3 0 -1 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,403,5754] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] [34:226:1] |
Generators of the group modulo torsion |
j |
8605487927/21789081 |
j-invariant |
L |
7.1971968647952 |
L(r)(E,1)/r! |
Ω |
0.85682870252412 |
Real period |
R |
0.69998402673364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103443c1 |
Quadratic twists by: 29 |