Atkin-Lehner |
2+ 3- 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178m |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
607182128784 = 24 · 39 · 74 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4653,-115115] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:91:1] [-34:71:1] |
Generators of the group modulo torsion |
j |
15284380546513/832897296 |
j-invariant |
L |
7.5126262052773 |
L(r)(E,1)/r! |
Ω |
0.58000745369783 |
Real period |
R |
3.2381593363113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33726l1 |
Quadratic twists by: -3 |