Atkin-Lehner |
19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
118579c |
Isogeny class |
Conductor |
118579 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
-4618661654899 = -1 · 19 · 796 |
Discriminant |
Eigenvalues |
0 2 3 1 3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4161,3178] |
[a1,a2,a3,a4,a6] |
Generators |
[906233076:19982765431:96702579] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
11.263887342284 |
L(r)(E,1)/r! |
Ω |
0.46433417159249 |
Real period |
R |
12.129074238432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19a3 |
Quadratic twists by: -79 |