Atkin-Lehner |
2+ 3+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178h |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-571367545056 = -1 · 25 · 33 · 77 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2064,-5024] |
[a1,a2,a3,a4,a6] |
Generators |
[5:71:1] |
Generators of the group modulo torsion |
j |
36005650668261/21161760928 |
j-invariant |
L |
3.9279532008592 |
L(r)(E,1)/r! |
Ω |
0.54055365788809 |
Real period |
R |
0.5190383637725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101178bi1 |
Quadratic twists by: -3 |