Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
71100m |
Isogeny class |
Conductor |
71100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1700352 |
Modular degree for the optimal curve |
Δ |
-3576902975433388800 = -1 · 28 · 315 · 52 · 794 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -2 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222600,-99568780] |
[a1,a2,a3,a4,a6] |
Generators |
[1328593525:387410568039:15625] |
Generators of the group modulo torsion |
j |
-261451832320000/766654444323 |
j-invariant |
L |
8.0147751869633 |
L(r)(E,1)/r! |
Ω |
0.10168546102656 |
Real period |
R |
9.8524104438392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23700c1 71100y1 |
Quadratic twists by: -3 5 |