Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49284i |
Isogeny class |
Conductor |
49284 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-431136432 = -1 · 24 · 39 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -2 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,3737] |
[a1,a2,a3,a4,a6] |
Generators |
[16:27:1] |
Generators of the group modulo torsion |
j |
-606208/27 |
j-invariant |
L |
6.5235673784805 |
L(r)(E,1)/r! |
Ω |
1.6594735123855 |
Real period |
R |
0.32759222175926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16428c1 49284j1 |
Quadratic twists by: -3 37 |