Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390by |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-1199524968306000 = -1 · 24 · 39 · 53 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1732690,-878591953] |
[a1,a2,a3,a4,a6] |
j |
-4889878795573542289/10195794000 |
j-invariant |
L |
3.1581337865835 |
L(r)(E,1)/r! |
Ω |
0.065794453832451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770v1 |
Quadratic twists by: -7 |