Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664cv |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
3723636672 = 26 · 32 · 7 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404,1218] |
[a1,a2,a3,a4,a6] |
Generators |
[43:248:1] |
Generators of the group modulo torsion |
j |
114225318208/58181823 |
j-invariant |
L |
4.8315190562555 |
L(r)(E,1)/r! |
Ω |
1.235708081092 |
Real period |
R |
3.9099194463365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664ds1 20832be2 124992fw1 |
Quadratic twists by: -4 8 -3 |