Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bn |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-62380800 = -1 · 28 · 33 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,-342] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-30:1] |
Generators of the group modulo torsion |
j |
8208/25 |
j-invariant |
L |
7.5199497160357 |
L(r)(E,1)/r! |
Ω |
1.0075372772288 |
Real period |
R |
0.46648086088525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129960i1 129960b1 |
Quadratic twists by: -3 -19 |