Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3388d |
Isogeny class |
Conductor |
3388 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-3479833396998269696 = -1 · 28 · 78 · 119 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,241355,-77200169] |
[a1,a2,a3,a4,a6] |
Generators |
[645:18634:1] |
Generators of the group modulo torsion |
j |
2575826944/5764801 |
j-invariant |
L |
4.2258802916729 |
L(r)(E,1)/r! |
Ω |
0.12982516581229 |
Real period |
R |
0.67813641671351 |
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 |
13552j1 54208w1 30492x1 84700c1 |
Quadratic twists by: -4 8 -3 5 |