Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36252c |
Isogeny class |
Conductor |
36252 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
7388257528347984 = 24 · 33 · 199 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66024,-5053319] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:741:1] |
Generators of the group modulo torsion |
j |
73679294991826944/17102447982287 |
j-invariant |
L |
3.1457011155927 |
L(r)(E,1)/r! |
Ω |
0.30281720724755 |
Real period |
R |
1.7313531289419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36252f2 |
Quadratic twists by: -3 |