Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338n |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
318913728768 = 28 · 310 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3524,-74905] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:85:1] |
Generators of the group modulo torsion |
j |
6637252523257/437467392 |
j-invariant |
L |
9.0324714905805 |
L(r)(E,1)/r! |
Ω |
0.62222034539423 |
Real period |
R |
0.90728223906533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7446f1 |
Quadratic twists by: -3 |