Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47880l |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1031622480 = 24 · 36 · 5 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-678,6617] |
[a1,a2,a3,a4,a6] |
Generators |
[4:63:1] |
Generators of the group modulo torsion |
j |
2955053056/88445 |
j-invariant |
L |
4.058265114311 |
L(r)(E,1)/r! |
Ω |
1.5505566884664 |
Real period |
R |
0.65432388645883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760ba1 5320g1 |
Quadratic twists by: -4 -3 |