Atkin-Lehner |
2+ 3+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46314b |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
551321856 = 28 · 33 · 312 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-501,-4043] |
[a1,a2,a3,a4,a6] |
Generators |
[57:359:1] |
Generators of the group modulo torsion |
j |
515656670859/20419328 |
j-invariant |
L |
5.1091326252922 |
L(r)(E,1)/r! |
Ω |
1.0114821689915 |
Real period |
R |
2.5255673218544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46314q1 |
Quadratic twists by: -3 |