Atkin-Lehner |
2- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96628l |
Isogeny class |
Conductor |
96628 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-510645993519872 = -1 · 28 · 77 · 174 · 29 |
Discriminant |
Eigenvalues |
2- -1 0 7- 2 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39853,3262841] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:1666:1] [103:490:1] |
Generators of the group modulo torsion |
j |
-232428544000/16954763 |
j-invariant |
L |
9.2674664787601 |
L(r)(E,1)/r! |
Ω |
0.51291596680039 |
Real period |
R |
0.3764207605264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804a1 |
Quadratic twists by: -7 |