Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18620g |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2356340733098240 = -1 · 28 · 5 · 713 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95076,-11491304] |
[a1,a2,a3,a4,a6] |
j |
-3155824042576/78236585 |
j-invariant |
L |
0.54296939254837 |
L(r)(E,1)/r! |
Ω |
0.13574234813709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480bd1 93100s1 2660d1 |
Quadratic twists by: -4 5 -7 |