Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40600m |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-3881558128000000 = -1 · 210 · 56 · 73 · 294 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53208,5577088] |
[a1,a2,a3,a4,a6] |
j |
-1041220466500/242597383 |
j-invariant |
L |
0.84176580802725 |
L(r)(E,1)/r! |
Ω |
0.42088290402689 |
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 |
81200j1 1624b1 |
Quadratic twists by: -4 5 |