Atkin-Lehner |
2- 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cx |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
11542741056000000 = 212 · 39 · 56 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58015,-1490983] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:413:1] |
Generators of the group modulo torsion |
j |
21594595315014837361/11542741056000000 |
j-invariant |
L |
12.422216477139 |
L(r)(E,1)/r! |
Ω |
0.32709697628051 |
Real period |
R |
1.0549213041745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810bi1 |
Quadratic twists by: -3 |