Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5472n |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-4595429376 = -1 · 212 · 310 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 -3 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10344,404944] |
[a1,a2,a3,a4,a6] |
Generators |
[56:36:1] |
Generators of the group modulo torsion |
j |
-40992251392/1539 |
j-invariant |
L |
3.4228538835304 |
L(r)(E,1)/r! |
Ω |
1.2882095829424 |
Real period |
R |
0.66426572369387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5472t1 10944u1 1824l1 103968cj1 |
Quadratic twists by: -4 8 -3 -19 |