Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240eb |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
280406100452889600 = 210 · 33 · 52 · 75 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-637805,194181075] |
[a1,a2,a3,a4,a6] |
Generators |
[-485:19740:1] |
Generators of the group modulo torsion |
j |
28021294529409501184/273834082473525 |
j-invariant |
L |
8.8600724992393 |
L(r)(E,1)/r! |
Ω |
0.31015717697573 |
Real period |
R |
4.761065887146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hh1 14280b1 |
Quadratic twists by: -4 8 |