Atkin-Lehner |
2+ 3+ 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858d |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-3062945581532928 = -1 · 28 · 37 · 78 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,30434,1719796] |
[a1,a2,a3,a4,a6] |
j |
3117299456596177943/3062945581532928 |
j-invariant |
L |
1.1837297018199 |
L(r)(E,1)/r! |
Ω |
0.29593242545538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119574bl1 |
Quadratic twists by: -3 |