Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130bb |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
770959779450000 = 24 · 3 · 55 · 77 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-72154,-7345348] |
[a1,a2,a3,a4,a6] |
Generators |
[540:10276:1] |
Generators of the group modulo torsion |
j |
353108405631241/6553050000 |
j-invariant |
L |
5.0844115927863 |
L(r)(E,1)/r! |
Ω |
0.2916248570522 |
Real period |
R |
4.3586918885542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590e1 |
Quadratic twists by: -7 |