Atkin-Lehner |
2- 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326bp |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-95030496 = -1 · 25 · 35 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,113,89] |
[a1,a2,a3,a4,a6] |
Generators |
[2:17:1] |
Generators of the group modulo torsion |
j |
1318054727/785376 |
j-invariant |
L |
9.7175453701586 |
L(r)(E,1)/r! |
Ω |
1.1606428065721 |
Real period |
R |
0.33490218748912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326p1 |
Quadratic twists by: -11 |