Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600gm |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-21609000000000 = -1 · 29 · 32 · 59 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 -1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-223812] |
[a1,a2,a3,a4,a6] |
Generators |
[303:5250:1] |
Generators of the group modulo torsion |
j |
-392/1125 |
j-invariant |
L |
8.6887222228662 |
L(r)(E,1)/r! |
Ω |
0.30818154630867 |
Real period |
R |
1.174729950612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600h1 23520a1 117600fj1 |
Quadratic twists by: -4 5 -7 |