Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73260z |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-3201188007600 = -1 · 24 · 312 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,94489] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-243:1] |
Generators of the group modulo torsion |
j |
-97152876544/274450275 |
j-invariant |
L |
8.3812627024454 |
L(r)(E,1)/r! |
Ω |
0.70230646607667 |
Real period |
R |
0.99449256432549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420j1 |
Quadratic twists by: -3 |