Atkin-Lehner |
2+ 3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326m |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
140000 |
Modular degree for the optimal curve |
Δ |
-1391341491936 = -1 · 25 · 35 · 116 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10893,-442136] |
[a1,a2,a3,a4,a6] |
Generators |
[982:1683:8] |
Generators of the group modulo torsion |
j |
-80677568161/785376 |
j-invariant |
L |
6.7270697170187 |
L(r)(E,1)/r! |
Ω |
0.2335260551687 |
Real period |
R |
2.8806506033434 |
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 |
606f1 |
Quadratic twists by: -11 |