Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160bf |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
43724800 = 212 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-400,3200] |
[a1,a2,a3,a4,a6] |
Generators |
[10:10:1] |
Generators of the group modulo torsion |
j |
1732323601/10675 |
j-invariant |
L |
5.2527268686124 |
L(r)(E,1)/r! |
Ω |
2.0379052010196 |
Real period |
R |
0.6443782156776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2135f1 |
Quadratic twists by: -4 |