Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040bk |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3137149440 = -1 · 29 · 36 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,-722] |
[a1,a2,a3,a4,a6] |
Generators |
[1478:56826:1] |
Generators of the group modulo torsion |
j |
13481272/8405 |
j-invariant |
L |
7.1164977940224 |
L(r)(E,1)/r! |
Ω |
0.81820272444559 |
Real period |
R |
4.3488597515746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040k2 118080cg2 6560g2 |
Quadratic twists by: -4 8 -3 |