Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520z |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
575241942067200000 = 214 · 318 · 55 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1052508,-414005168] |
[a1,a2,a3,a4,a6] |
j |
10795741106269264/48161840625 |
j-invariant |
L |
0.59637551782375 |
L(r)(E,1)/r! |
Ω |
0.14909386772286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520el1 10440k1 27840ce1 |
Quadratic twists by: -4 8 -3 |