Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680i |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-40176648000 = -1 · 26 · 36 · 53 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-580,-10850] |
[a1,a2,a3,a4,a6] |
Generators |
[47:252:1] |
Generators of the group modulo torsion |
j |
-337735169344/627760125 |
j-invariant |
L |
5.6992311593982 |
L(r)(E,1)/r! |
Ω |
0.45823129077084 |
Real period |
R |
4.145818403799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680x1 39840e2 |
Quadratic twists by: -4 8 |