Atkin-Lehner |
2+ 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950b |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
342784000000000 = 217 · 59 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 -1 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17501,-25352] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:967:1] |
Generators of the group modulo torsion |
j |
37936442980801/21938176000 |
j-invariant |
L |
4.6290673413451 |
L(r)(E,1)/r! |
Ω |
0.45435158613355 |
Real period |
R |
5.0941467829361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390i1 |
Quadratic twists by: 5 |