Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
39840a |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
9960000 = 26 · 3 · 54 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] |
Generators of the group modulo torsion |
j |
504358336/155625 |
j-invariant |
L |
2.8930000656469 |
L(r)(E,1)/r! |
Ω |
1.7131863373021 |
Real period |
R |
1.6886663188086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39840k1 79680bb1 119520w1 |
Quadratic twists by: -4 8 -3 |