Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20102b |
Isogeny class |
Conductor |
20102 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24948 |
Modular degree for the optimal curve |
Δ |
-22501455128 = -1 · 23 · 19 · 236 |
Discriminant |
Eigenvalues |
2+ 1 0 1 6 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8211,-287130] |
[a1,a2,a3,a4,a6] |
j |
-413493625/152 |
j-invariant |
L |
2.2568870005227 |
L(r)(E,1)/r! |
Ω |
0.2507652222803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38a3 |
Quadratic twists by: -23 |