Atkin-Lehner |
2+ 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288h |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
1685860892322048 = 28 · 33 · 139 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457708,-119018732] |
[a1,a2,a3,a4,a6] |
Generators |
[902:14184:1] [560814:27482273:216] |
Generators of the group modulo torsion |
j |
3906250000/621 |
j-invariant |
L |
9.1904487131294 |
L(r)(E,1)/r! |
Ω |
0.18355088919882 |
Real period |
R |
50.070303409618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998249 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93288be1 |
Quadratic twists by: 13 |