Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48412h |
Isogeny class |
Conductor |
48412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11376 |
Modular degree for the optimal curve |
Δ |
-2517424 = -1 · 24 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
2- -2 -1 7- -3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541,4668] |
[a1,a2,a3,a4,a6] |
Generators |
[11:13:1] |
Generators of the group modulo torsion |
j |
-22377005056/3211 |
j-invariant |
L |
2.6641260295809 |
L(r)(E,1)/r! |
Ω |
2.4821337813533 |
Real period |
R |
0.17888681434806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48412c1 |
Quadratic twists by: -7 |