Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480h |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
682606440000 = 26 · 310 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2793,40592] |
[a1,a2,a3,a4,a6] |
j |
51645087424/14630625 |
j-invariant |
L |
1.687973049309 |
L(r)(E,1)/r! |
Ω |
0.84398652465452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24480i1 48960fm2 8160l1 122400dx1 |
Quadratic twists by: -4 8 -3 5 |