Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200bb |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
15647985000000 = 26 · 310 · 57 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6258,7488] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:300:1] |
Generators of the group modulo torsion |
j |
27108144064/15647985 |
j-invariant |
L |
10.435712102042 |
L(r)(E,1)/r! |
Ω |
0.5936145452445 |
Real period |
R |
1.7579946721587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200cf1 25440ba1 |
Quadratic twists by: -4 5 |