Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550bd |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
17632000 = 28 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2- -3 5- 3 5 2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-450,3777] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-25:1] |
Generators of the group modulo torsion |
j |
80453723013/141056 |
j-invariant |
L |
6.0127877352924 |
L(r)(E,1)/r! |
Ω |
2.1869712016901 |
Real period |
R |
0.17183547417788 |
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 |
27550l1 |
Quadratic twists by: 5 |