Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
1752j |
Isogeny class |
Conductor |
1752 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-3310523136 = -1 · 28 · 311 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -4 2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,343,1419] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-162:1] |
Generators of the group modulo torsion |
j |
17381983232/12931731 |
j-invariant |
L |
3.0159606637 |
L(r)(E,1)/r! |
Ω |
0.90233644836462 |
Real period |
R |
0.15192683541237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3504e1 14016h1 5256c1 43800g1 |
Quadratic twists by: -4 8 -3 5 |