Atkin-Lehner |
2- 3+ 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178bi |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-416526940345824 = -1 · 25 · 39 · 77 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18574,117073] |
[a1,a2,a3,a4,a6] |
Generators |
[427:9047:1] |
Generators of the group modulo torsion |
j |
36005650668261/21161760928 |
j-invariant |
L |
15.335691413336 |
L(r)(E,1)/r! |
Ω |
0.32249919809128 |
Real period |
R |
0.67932356761009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101178h1 |
Quadratic twists by: -3 |