Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400c |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-23275000000 = -1 · 26 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,342,-6812] |
[a1,a2,a3,a4,a6] |
Generators |
[38:250:1] |
Generators of the group modulo torsion |
j |
4410944/23275 |
j-invariant |
L |
2.8845983782081 |
L(r)(E,1)/r! |
Ω |
0.60341641087236 |
Real period |
R |
1.1951110088943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106400r1 21280t1 |
Quadratic twists by: -4 5 |