Atkin-Lehner |
2- 3+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36378g |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-55876608 = -1 · 210 · 33 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,94,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[5:19:1] |
Generators of the group modulo torsion |
j |
3436115229/2069504 |
j-invariant |
L |
8.0895288057897 |
L(r)(E,1)/r! |
Ω |
1.1553819112952 |
Real period |
R |
1.4003211798113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36378a1 |
Quadratic twists by: -3 |