Atkin-Lehner |
2+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27560b |
Isogeny class |
Conductor |
27560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-7055360 = -1 · 211 · 5 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 0 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-148] |
[a1,a2,a3,a4,a6] |
Generators |
[106:307:8] |
Generators of the group modulo torsion |
j |
-3543122/3445 |
j-invariant |
L |
3.8457025955228 |
L(r)(E,1)/r! |
Ω |
0.9112031473245 |
Real period |
R |
4.220466760694 |
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 |
55120d1 |
Quadratic twists by: -4 |