Atkin-Lehner |
2- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
19118f |
Isogeny class |
Conductor |
19118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
270949625584 = 24 · 118 · 79 |
Discriminant |
Eigenvalues |
2- -1 -3 3 11- 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1757,-14013] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:134:1] |
Generators of the group modulo torsion |
j |
338608873/152944 |
j-invariant |
L |
5.6080156012991 |
L(r)(E,1)/r! |
Ω |
0.76937026481329 |
Real period |
R |
0.91113730569312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1738a1 |
Quadratic twists by: -11 |