Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550ba |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-1209378880000 = -1 · 29 · 54 · 194 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -6 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1070,50897] |
[a1,a2,a3,a4,a6] |
Generators |
[35:343:1] |
Generators of the group modulo torsion |
j |
216957909375/1935006208 |
j-invariant |
L |
8.5038117684304 |
L(r)(E,1)/r! |
Ω |
0.63311250914135 |
Real period |
R |
0.74620858111894 |
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 |
27550a1 |
Quadratic twists by: 5 |