Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780z |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-172022845878000 = -1 · 24 · 311 · 53 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 13- 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2103,-629939] |
[a1,a2,a3,a4,a6] |
Generators |
[92:585:1] |
Generators of the group modulo torsion |
j |
88184857856/14748186375 |
j-invariant |
L |
6.1504751309246 |
L(r)(E,1)/r! |
Ω |
0.26993106993292 |
Real period |
R |
0.94938977267616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13260l1 |
Quadratic twists by: -3 |