Atkin-Lehner |
2+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27560c |
Isogeny class |
Conductor |
27560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-138839106365440 = -1 · 211 · 5 · 136 · 532 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38600,2986412] |
[a1,a2,a3,a4,a6] |
Generators |
[11218005:-26574362:91125] |
Generators of the group modulo torsion |
j |
-3105753082534802/67792532405 |
j-invariant |
L |
7.0973726026598 |
L(r)(E,1)/r! |
Ω |
0.58190484879131 |
Real period |
R |
12.196792340538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55120e2 |
Quadratic twists by: -4 |