Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54464u |
Isogeny class |
Conductor |
54464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-32242688 = -1 · 210 · 23 · 372 |
Discriminant |
Eigenvalues |
2- -3 0 2 -2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,472] |
[a1,a2,a3,a4,a6] |
Generators |
[13:37:1] |
Generators of the group modulo torsion |
j |
-108000000/31487 |
j-invariant |
L |
3.5414052898481 |
L(r)(E,1)/r! |
Ω |
1.9707755389856 |
Real period |
R |
0.8984801211008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54464b1 13616i1 |
Quadratic twists by: -4 8 |