Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240b |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1096704000000 = -1 · 216 · 32 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3841,-103295] |
[a1,a2,a3,a4,a6] |
Generators |
[105:800:1] |
Generators of the group modulo torsion |
j |
-95651055364/16734375 |
j-invariant |
L |
3.8676541111471 |
L(r)(E,1)/r! |
Ω |
0.30034796780454 |
Real period |
R |
3.2193110143308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ja1 14280v1 |
Quadratic twists by: -4 8 |