Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450bj |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-25734375000 = -1 · 23 · 33 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -2 1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,70,7697] |
[a1,a2,a3,a4,a6] |
Generators |
[19:115:1] |
Generators of the group modulo torsion |
j |
729/488 |
j-invariant |
L |
8.4554027948942 |
L(r)(E,1)/r! |
Ω |
0.92879566631843 |
Real period |
R |
0.75863499920008 |
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 |
27450g1 27450h1 |
Quadratic twists by: -3 5 |