Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280ea |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-128024064000 = -1 · 212 · 36 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1008,21168] |
[a1,a2,a3,a4,a6] |
j |
-110592/125 |
j-invariant |
L |
1.8904943450002 |
L(r)(E,1)/r! |
Ω |
0.94524717249475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2205h1 3920bi1 35280fg1 |
Quadratic twists by: -4 -3 -7 |