Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cp |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-8121876480 = -1 · 217 · 36 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,4336] |
[a1,a2,a3,a4,a6] |
Generators |
[30:176:1] |
Generators of the group modulo torsion |
j |
-2/85 |
j-invariant |
L |
7.7009804619296 |
L(r)(E,1)/r! |
Ω |
1.0465233476444 |
Real period |
R |
1.8396580638304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960fh1 6120e1 5440b1 |
Quadratic twists by: -4 8 -3 |