Atkin-Lehner |
2- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450y |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-11056883200000000 = -1 · 215 · 58 · 114 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 3 11- -6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,44362,3561892] |
[a1,a2,a3,a4,a6] |
Generators |
[652:17274:1] |
Generators of the group modulo torsion |
j |
24717037589375/28305620992 |
j-invariant |
L |
6.5780391240041 |
L(r)(E,1)/r! |
Ω |
0.26934076225031 |
Real period |
R |
0.13568188303432 |
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 |
32450e1 |
Quadratic twists by: 5 |