Atkin-Lehner |
2+ 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080k |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-15054317048954880 = -1 · 217 · 310 · 5 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 0 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14175,-5872095] |
[a1,a2,a3,a4,a6] |
j |
2402992139182/114855324165 |
j-invariant |
L |
1.5098141710705 |
L(r)(E,1)/r! |
Ω |
0.18872677308526 |
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 |
70080ck1 8760a1 |
Quadratic twists by: -4 8 |