Atkin-Lehner |
2+ 3- 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178p |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-7713461858256 = -1 · 24 · 36 · 77 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11+ 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3159,-115619] |
[a1,a2,a3,a4,a6] |
Generators |
[30:59:1] |
Generators of the group modulo torsion |
j |
4781539277423/10580880464 |
j-invariant |
L |
2.7954033323636 |
L(r)(E,1)/r! |
Ω |
0.38439271095236 |
Real period |
R |
3.6361294964604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999403563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242h1 |
Quadratic twists by: -3 |