Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320q |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-23783362560 = -1 · 212 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 5 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17761,917041] |
[a1,a2,a3,a4,a6] |
j |
-151283115210304/5806485 |
j-invariant |
L |
2.2478055148056 |
L(r)(E,1)/r! |
Ω |
1.1239027574028 |
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 |
28320v1 56640db1 84960r1 |
Quadratic twists by: -4 8 -3 |