Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280bi |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-133128000 = -1 · 26 · 32 · 53 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,124,-126] |
[a1,a2,a3,a4,a6] |
Generators |
[2330:39861:8] |
Generators of the group modulo torsion |
j |
3268147904/2080125 |
j-invariant |
L |
4.9274314621974 |
L(r)(E,1)/r! |
Ω |
1.0598399551578 |
Real period |
R |
4.6492222134224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280g1 20640r2 123840dj1 |
Quadratic twists by: -4 8 -3 |