Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400dh |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
50531250000 = 24 · 3 · 59 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1083,8088] |
[a1,a2,a3,a4,a6] |
Generators |
[45332:507702:343] |
Generators of the group modulo torsion |
j |
4499456/1617 |
j-invariant |
L |
9.132935913233 |
L(r)(E,1)/r! |
Ω |
1.0319360662783 |
Real period |
R |
8.8502923860009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200r1 92400bj1 |
Quadratic twists by: -4 5 |