Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bq |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-9936419299200 = -1 · 27 · 39 · 52 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4522,-97563] |
[a1,a2,a3,a4,a6] |
Generators |
[293:4983:1] |
Generators of the group modulo torsion |
j |
14030653277159/13630204800 |
j-invariant |
L |
7.5957658286611 |
L(r)(E,1)/r! |
Ω |
0.39544635519337 |
Real period |
R |
0.11433381859126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110i1 |
Quadratic twists by: -3 |