Atkin-Lehner |
2+ 3- 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178r |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-839049062101899264 = -1 · 211 · 37 · 74 · 114 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,213759,22200637] |
[a1,a2,a3,a4,a6] |
Generators |
[1379:53513:1] |
Generators of the group modulo torsion |
j |
1481727251154883823/1150958932924416 |
j-invariant |
L |
6.030643665221 |
L(r)(E,1)/r! |
Ω |
0.18089890235908 |
Real period |
R |
4.1671367170982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33726k2 |
Quadratic twists by: -3 |