Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720bi |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
4707123200 = 216 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-705,-6175] |
[a1,a2,a3,a4,a6] |
Generators |
[215:3120:1] |
Generators of the group modulo torsion |
j |
592143556/71825 |
j-invariant |
L |
9.92178616398 |
L(r)(E,1)/r! |
Ω |
0.93376345570918 |
Real period |
R |
2.6563971053642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720o1 17680b1 |
Quadratic twists by: -4 8 |