Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20184b |
Isogeny class |
Conductor |
20184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
1255606272 = 211 · 36 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 5 0 -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-744,-7380] |
[a1,a2,a3,a4,a6] |
Generators |
[33:54:1] |
Generators of the group modulo torsion |
j |
26478914/729 |
j-invariant |
L |
4.083808964585 |
L(r)(E,1)/r! |
Ω |
0.91556236145622 |
Real period |
R |
2.2302188996114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40368o1 60552t1 20184r1 |
Quadratic twists by: -4 -3 29 |