Atkin-Lehner |
2+ 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336s |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
6960384 = 28 · 33 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 -2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,332] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
436334416/27189 |
j-invariant |
L |
9.2036541869599 |
L(r)(E,1)/r! |
Ω |
2.3222207577885 |
Real period |
R |
0.66054976011562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168f1 |
Quadratic twists by: -4 |