Atkin-Lehner |
3+ 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
50985c |
Isogeny class |
Conductor |
50985 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
95823917578125 = 39 · 58 · 112 · 103 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18699,868868] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1384:1] |
Generators of the group modulo torsion |
j |
36736741199907/4868359375 |
j-invariant |
L |
5.2944470110025 |
L(r)(E,1)/r! |
Ω |
0.57816147325183 |
Real period |
R |
1.1446730835535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50985b2 |
Quadratic twists by: -3 |