Atkin-Lehner |
2- 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
43450o |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2389750000 = 24 · 56 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11+ 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363,1217] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:45:1] |
Generators of the group modulo torsion |
j |
338608873/152944 |
j-invariant |
L |
12.051352633254 |
L(r)(E,1)/r! |
Ω |
1.3031136087961 |
Real period |
R |
1.1560151540027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1738a1 |
Quadratic twists by: 5 |