Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096be |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-337259121389568 = -1 · 212 · 33 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-237813,-44567235] |
[a1,a2,a3,a4,a6] |
Generators |
[807079043484:42368468464351:283593393] |
Generators of the group modulo torsion |
j |
-62992384000/14283 |
j-invariant |
L |
4.2060730629486 |
L(r)(E,1)/r! |
Ω |
0.10809474999928 |
Real period |
R |
19.455491885484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381i1 54096dg1 |
Quadratic twists by: -4 -7 |