Atkin-Lehner |
2+ 3- 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178q |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8939520 |
Modular degree for the optimal curve |
Δ |
20461503792147264 = 26 · 36 · 7 · 115 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164709699,-813588674923] |
[a1,a2,a3,a4,a6] |
Generators |
[16462:959197:1] |
Generators of the group modulo torsion |
j |
677881381559128996008093489/28067906436416 |
j-invariant |
L |
5.0771434593039 |
L(r)(E,1)/r! |
Ω |
0.042142448151874 |
Real period |
R |
6.0237879952935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242f1 |
Quadratic twists by: -3 |