Atkin-Lehner |
2- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3128b |
Isogeny class |
Conductor |
3128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-56260208 = -1 · 24 · 172 · 233 |
Discriminant |
Eigenvalues |
2- 1 -2 4 0 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1224,16085] |
[a1,a2,a3,a4,a6] |
Generators |
[22:17:1] |
Generators of the group modulo torsion |
j |
-12685358647552/3516263 |
j-invariant |
L |
3.8009020724366 |
L(r)(E,1)/r! |
Ω |
1.9394519007266 |
Real period |
R |
0.48994539011415 |
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 |
6256c1 25024g1 28152g1 78200e1 |
Quadratic twists by: -4 8 -3 5 |