Atkin-Lehner |
2- 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19836a |
Isogeny class |
Conductor |
19836 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-4522608 = -1 · 24 · 33 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 3 -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39,41] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] [5:19:1] |
Generators of the group modulo torsion |
j |
15185664/10469 |
j-invariant |
L |
6.3734179297484 |
L(r)(E,1)/r! |
Ω |
1.5462202204638 |
Real period |
R |
0.34349451247832 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344u1 19836b1 |
Quadratic twists by: -4 -3 |