Atkin-Lehner |
2- 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17980b |
Isogeny class |
Conductor |
17980 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1158624 |
Modular degree for the optimal curve |
Δ |
-3.0669961706378E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 3 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3395019,-1140038281] |
[a1,a2,a3,a4,a6] |
Generators |
[23075237642:1462849688375:7645373] |
Generators of the group modulo torsion |
j |
16904808145129930489856/11980453791554046875 |
j-invariant |
L |
6.456444595404 |
L(r)(E,1)/r! |
Ω |
0.080154705943418 |
Real period |
R |
13.424964717525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
71920h1 89900c1 |
Quadratic twists by: -4 5 |