Atkin-Lehner |
3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635q |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-726086061855 = -1 · 35 · 5 · 74 · 114 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1546,47075] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:221:1] |
Generators of the group modulo torsion |
j |
-408667158311329/726086061855 |
j-invariant |
L |
3.093831458421 |
L(r)(E,1)/r! |
Ω |
0.80608166702431 |
Real period |
R |
0.76762233530061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905bi1 98175g1 |
Quadratic twists by: -3 5 |