Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560i |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-353432868750000 = -1 · 24 · 39 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22998,1618697] |
[a1,a2,a3,a4,a6] |
Generators |
[29:988:1] |
Generators of the group modulo torsion |
j |
-115331093579776/30301171875 |
j-invariant |
L |
7.6834670506536 |
L(r)(E,1)/r! |
Ω |
0.51208937615993 |
Real period |
R |
3.7510381049368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520u1 |
Quadratic twists by: -3 |