Atkin-Lehner |
2- 3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190bd |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
577920 |
Modular degree for the optimal curve |
Δ |
-71018824679568000 = -1 · 27 · 320 · 53 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4636,-12822640] |
[a1,a2,a3,a4,a6] |
Generators |
[266:2054:1] |
Generators of the group modulo torsion |
j |
-11019448230141889/71018824679568000 |
j-invariant |
L |
10.640188657463 |
L(r)(E,1)/r! |
Ω |
0.15737052885683 |
Real period |
R |
0.48294523825642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114570s1 |
Quadratic twists by: -3 |