Atkin-Lehner |
2+ 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336a |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
130400382663936 = 28 · 39 · 73 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11+ 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111996,14415732] |
[a1,a2,a3,a4,a6] |
Generators |
[198:54:1] |
Generators of the group modulo torsion |
j |
30831878790144/25879007 |
j-invariant |
L |
8.1769968186077 |
L(r)(E,1)/r! |
Ω |
0.58111052822647 |
Real period |
R |
1.7589159917275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105336bc1 |
Quadratic twists by: -3 |