Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650a |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-34606000000 = -1 · 27 · 56 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,808,1216] |
[a1,a2,a3,a4,a6] |
Generators |
[3:59:1] |
Generators of the group modulo torsion |
j |
2803221/1664 |
j-invariant |
L |
3.149530289539 |
L(r)(E,1)/r! |
Ω |
0.70891310946402 |
Real period |
R |
2.2213796368387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146j1 78650bp1 |
Quadratic twists by: 5 -11 |