Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800i |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-8070030000 = -1 · 24 · 39 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 3 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1350,-19575] |
[a1,a2,a3,a4,a6] |
j |
-1382400/41 |
j-invariant |
L |
1.5724881707849 |
L(r)(E,1)/r! |
Ω |
0.3931220434961 |
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 |
73800bv1 73800bm1 |
Quadratic twists by: -3 5 |