Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200ce |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-13176000000000 = -1 · 212 · 33 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -4 -4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2533,180563] |
[a1,a2,a3,a4,a6] |
Generators |
[38:375:1] |
Generators of the group modulo torsion |
j |
-28094464/205875 |
j-invariant |
L |
6.8757250291904 |
L(r)(E,1)/r! |
Ω |
0.60849118311648 |
Real period |
R |
0.94163580607606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4575b1 14640r1 |
Quadratic twists by: -4 5 |