Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138n |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
12453421067748 = 22 · 34 · 197 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-497466,-135090728] |
[a1,a2,a3,a4,a6] |
Generators |
[167530:4925589:125] |
Generators of the group modulo torsion |
j |
289395025998625/264708 |
j-invariant |
L |
4.9733772429368 |
L(r)(E,1)/r! |
Ω |
0.17976652866897 |
Real period |
R |
6.9164394443509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902i1 |
Quadratic twists by: -19 |