Atkin-Lehner |
2- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71440i |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
38354057953280 = 233 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 1 5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21083,1139978] |
[a1,a2,a3,a4,a6] |
Generators |
[-2481:40960:27] |
Generators of the group modulo torsion |
j |
253023576627249/9363783680 |
j-invariant |
L |
6.39543172539 |
L(r)(E,1)/r! |
Ω |
0.64314546740666 |
Real period |
R |
2.4859973559236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930i1 |
Quadratic twists by: -4 |