Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46930x |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
-5180750987841845000 = -1 · 23 · 54 · 132 · 1910 |
Discriminant |
Eigenvalues |
2- 3 5+ -4 1 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-350238,-135401483] |
[a1,a2,a3,a4,a6] |
Generators |
[11567727:1450306297:729] |
Generators of the group modulo torsion |
j |
-774954729/845000 |
j-invariant |
L |
13.569443129493 |
L(r)(E,1)/r! |
Ω |
0.09408712851382 |
Real period |
R |
12.018508220157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46930k1 |
Quadratic twists by: -19 |