Atkin-Lehner |
3+ 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
80997g |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
201457156576473 = 37 · 78 · 19 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39103,-2913100] |
[a1,a2,a3,a4,a6] |
Generators |
[748:19299:1] |
Generators of the group modulo torsion |
j |
56203893222625/1712357577 |
j-invariant |
L |
3.2744201562907 |
L(r)(E,1)/r! |
Ω |
0.34013916700701 |
Real period |
R |
4.813353582576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571i1 |
Quadratic twists by: -7 |