Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440ca |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-39185107281510400 = -1 · 230 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8065,-9525375] |
[a1,a2,a3,a4,a6] |
j |
-221335335649/149479321600 |
j-invariant |
L |
1.9649044013141 |
L(r)(E,1)/r! |
Ω |
0.16374203347285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440dg1 2170n1 |
Quadratic twists by: -4 8 |