Atkin-Lehner |
2+ 3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326m |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-111715704921912366 = -1 · 2 · 3 · 116 · 1015 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,72597,14215804] |
[a1,a2,a3,a4,a6] |
Generators |
[-1708711630:14480880337:12167000] |
Generators of the group modulo torsion |
j |
23885383766399/63060603006 |
j-invariant |
L |
6.7270697170187 |
L(r)(E,1)/r! |
Ω |
0.2335260551687 |
Real period |
R |
14.403253016717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
606f2 |
Quadratic twists by: -11 |