Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27380d |
Isogeny class |
Conductor |
27380 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
205258112720 = 24 · 5 · 376 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1825,20028] |
[a1,a2,a3,a4,a6] |
Generators |
[5644:657944:4913] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
4.387915796656 |
L(r)(E,1)/r! |
Ω |
0.92864882621701 |
Real period |
R |
9.4501078831507 |
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 |
109520y1 20a2 |
Quadratic twists by: -4 37 |