Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560s |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1451485245630000 = -1 · 24 · 3 · 54 · 74 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72695,-7787832] |
[a1,a2,a3,a4,a6] |
Generators |
[141626998389804:818615437178805:432767422144] |
Generators of the group modulo torsion |
j |
-2655359495582734336/90717827851875 |
j-invariant |
L |
9.6842426574889 |
L(r)(E,1)/r! |
Ω |
0.14508460774753 |
Real period |
R |
16.68723310684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280t1 |
Quadratic twists by: -4 |