Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36540c |
Isogeny class |
Conductor |
36540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1421267148000000 = -1 · 28 · 36 · 56 · 75 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167088,26351012] |
[a1,a2,a3,a4,a6] |
Generators |
[236:-250:1] |
Generators of the group modulo torsion |
j |
-2764343452696576/7615671875 |
j-invariant |
L |
4.0692627358024 |
L(r)(E,1)/r! |
Ω |
0.48113008700094 |
Real period |
R |
1.4096197146902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4060f1 |
Quadratic twists by: -3 |