Atkin-Lehner |
2+ 3- 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178o |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
120737367058753368 = 23 · 39 · 72 · 118 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37089081,86948788149] |
[a1,a2,a3,a4,a6] |
Generators |
[476145:3572748:125] |
Generators of the group modulo torsion |
j |
7739883213527690889518737/165620530944792 |
j-invariant |
L |
4.2152736933941 |
L(r)(E,1)/r! |
Ω |
0.23920641287227 |
Real period |
R |
8.8109546438516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999637559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33726r4 |
Quadratic twists by: -3 |