Atkin-Lehner |
2- 3+ 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570ba |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
577536 |
Modular degree for the optimal curve |
Δ |
47607272100 = 22 · 39 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-340148,76442131] |
[a1,a2,a3,a4,a6] |
Generators |
[305:847:1] |
Generators of the group modulo torsion |
j |
221123544815781243/2418700 |
j-invariant |
L |
10.276675856571 |
L(r)(E,1)/r! |
Ω |
0.794091909908 |
Real period |
R |
3.2353546707402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999782998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570d1 |
Quadratic twists by: -3 |