Atkin-Lehner |
3- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50901g |
Isogeny class |
Conductor |
50901 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-29590803679221 = -1 · 37 · 194 · 473 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26722,-1703755] |
[a1,a2,a3,a4,a6] |
Generators |
[373:6158:1] |
Generators of the group modulo torsion |
j |
-16191714009097/227060901 |
j-invariant |
L |
6.6507828095147 |
L(r)(E,1)/r! |
Ω |
0.18654862535946 |
Real period |
R |
1.6977018335044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50901e1 |
Quadratic twists by: -19 |