Atkin-Lehner |
2+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
88298l |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2666496 |
Modular degree for the optimal curve |
Δ |
-1809916832991002624 = -1 · 214 · 77 · 17 · 534 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 2 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5872561,5479439517] |
[a1,a2,a3,a4,a6] |
Generators |
[10247281:-864176573:1331] |
Generators of the group modulo torsion |
j |
-190378597673833931097/15384039243776 |
j-invariant |
L |
5.9157906471891 |
L(r)(E,1)/r! |
Ω |
0.25207527435485 |
Real period |
R |
11.734174756413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614b1 |
Quadratic twists by: -7 |