Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700l |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
4834299881250000 = 24 · 33 · 58 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65133,-5432238] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:700:1] |
Generators of the group modulo torsion |
j |
122234448510976/19337199525 |
j-invariant |
L |
4.4110330451463 |
L(r)(E,1)/r! |
Ω |
0.30203674624955 |
Real period |
R |
2.4340487815467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100bq1 7140n1 |
Quadratic twists by: -3 5 |