Atkin-Lehner |
2- 3- 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178bm |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1577257366608 = -1 · 24 · 313 · 7 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -3 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,724,59775] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:197:1] [-1:243:1] |
Generators of the group modulo torsion |
j |
57646656647/2163590352 |
j-invariant |
L |
14.623831226704 |
L(r)(E,1)/r! |
Ω |
0.6391827915831 |
Real period |
R |
0.71496719221528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33726a1 |
Quadratic twists by: -3 |