Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080gi |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
47822400000000 = 212 · 36 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15492,663424] |
[a1,a2,a3,a4,a6] |
Generators |
[38:360:1] |
Generators of the group modulo torsion |
j |
137707850944/16015625 |
j-invariant |
L |
10.206574593711 |
L(r)(E,1)/r! |
Ω |
0.61525174466013 |
Real period |
R |
1.0368290903493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080gl1 59040bq1 13120bc1 |
Quadratic twists by: -4 8 -3 |