Atkin-Lehner |
2- 5+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101050m |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-25868800 = -1 · 29 · 52 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 0 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,65,-153] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
1232459415/1034752 |
j-invariant |
L |
7.2585388084464 |
L(r)(E,1)/r! |
Ω |
1.1700181476228 |
Real period |
R |
0.68930923347687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101050j1 |
Quadratic twists by: 5 |