Atkin-Lehner |
2- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27556d |
Isogeny class |
Conductor |
27556 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
292824 |
Modular degree for the optimal curve |
Δ |
-576586811427594496 = -1 · 28 · 838 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 4 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,190596,17513624] |
[a1,a2,a3,a4,a6] |
Generators |
[41406:1687805:216] |
Generators of the group modulo torsion |
j |
1328 |
j-invariant |
L |
6.8051255377047 |
L(r)(E,1)/r! |
Ω |
0.185913370568 |
Real period |
R |
4.0670827355496 |
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 |
110224m1 27556c1 |
Quadratic twists by: -4 -83 |