Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094cf |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
1.8655287989501E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2756282,1634808057] |
[a1,a2,a3,a4,a6] |
Generators |
[465:21063:1] |
Generators of the group modulo torsion |
j |
1793126264853169/144450256896 |
j-invariant |
L |
11.159964033753 |
L(r)(E,1)/r! |
Ω |
0.1755017391129 |
Real period |
R |
0.41834808237456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698d1 4554i1 |
Quadratic twists by: -3 -11 |