Atkin-Lehner |
2- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3388a |
Isogeny class |
Conductor |
3388 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-1964275233536 = -1 · 28 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1995,58727] |
[a1,a2,a3,a4,a6] |
j |
2575826944/5764801 |
j-invariant |
L |
2.3073621913552 |
L(r)(E,1)/r! |
Ω |
0.57684054783879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13552v1 54208b1 30492i1 84700n1 |
Quadratic twists by: -4 8 -3 5 |