Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bi |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-3313980000000 = -1 · 28 · 33 · 57 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1338,89031] |
[a1,a2,a3,a4,a6] |
Generators |
[21:255:1] |
Generators of the group modulo torsion |
j |
-16954786009/212094720 |
j-invariant |
L |
9.3454107124579 |
L(r)(E,1)/r! |
Ω |
0.67456692827451 |
Real period |
R |
1.7317426782829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690k1 |
Quadratic twists by: 5 |