Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880m |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-287453731143600 = -1 · 24 · 38 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5622,-799423] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1575:1] |
Generators of the group modulo torsion |
j |
1684801439744/24644524275 |
j-invariant |
L |
5.8585188404475 |
L(r)(E,1)/r! |
Ω |
0.26802781488591 |
Real period |
R |
1.3661172728769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760x1 15960m1 |
Quadratic twists by: -4 -3 |