Atkin-Lehner |
3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
5073c |
Isogeny class |
Conductor |
5073 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3240 |
Modular degree for the optimal curve |
Δ |
-12015507033 = -1 · 39 · 193 · 89 |
Discriminant |
Eigenvalues |
1 3+ -2 -1 5 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,534,2529] |
[a1,a2,a3,a4,a6] |
j |
16790982323543/12015507033 |
j-invariant |
L |
0.80606637531369 |
L(r)(E,1)/r! |
Ω |
0.80606637531369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168cr1 15219a1 126825q1 96387j1 |
Quadratic twists by: -4 -3 5 -19 |