Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560m |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-366439198320 = -1 · 24 · 313 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -1 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4143,-106693] |
[a1,a2,a3,a4,a6] |
Generators |
[79:243:1] |
Generators of the group modulo torsion |
j |
-674250071296/31416255 |
j-invariant |
L |
6.5991885302586 |
L(r)(E,1)/r! |
Ω |
0.29672967883968 |
Real period |
R |
1.3899832490607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26520x1 |
Quadratic twists by: -3 |