Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100bq |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
3524204613431250000 = 24 · 39 · 58 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-586200,147256625] |
[a1,a2,a3,a4,a6] |
Generators |
[1060:-26775:1] |
Generators of the group modulo torsion |
j |
122234448510976/19337199525 |
j-invariant |
L |
8.0901529236976 |
L(r)(E,1)/r! |
Ω |
0.23923392492892 |
Real period |
R |
0.46967935383544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999799956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35700l1 21420j1 |
Quadratic twists by: -3 5 |