Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
46728d |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
143889343488 = 210 · 39 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-578235,169240646] |
[a1,a2,a3,a4,a6] |
Generators |
[442:-108:1] |
Generators of the group modulo torsion |
j |
28642396591574500/192753 |
j-invariant |
L |
3.8064741807624 |
L(r)(E,1)/r! |
Ω |
0.70882744943274 |
Real period |
R |
1.3425249628056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456l1 15576g1 |
Quadratic twists by: -4 -3 |