Atkin-Lehner |
7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
66101g |
Isogeny class |
Conductor |
66101 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1804152 |
Modular degree for the optimal curve |
Δ |
-27055196873971 = -1 · 710 · 19 · 712 |
Discriminant |
Eigenvalues |
0 2 1 7- -4 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-36267905,84080303824] |
[a1,a2,a3,a4,a6] |
Generators |
[1848449808:47705536:531441] |
Generators of the group modulo torsion |
j |
-18677155404227805184/95779 |
j-invariant |
L |
6.478389996717 |
L(r)(E,1)/r! |
Ω |
0.32217231241744 |
Real period |
R |
10.054231457859 |
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 |
66101a1 |
Quadratic twists by: -7 |