Atkin-Lehner |
2+ 3- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390j |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-703254174105600 = -1 · 218 · 36 · 52 · 133 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19920,670976] |
[a1,a2,a3,a4,a6] |
Generators |
[39245:-788128:125] |
Generators of the group modulo torsion |
j |
1199090390129919/964683366400 |
j-invariant |
L |
5.3233070217742 |
L(r)(E,1)/r! |
Ω |
0.32782399668404 |
Real period |
R |
8.1191539869403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710j1 |
Quadratic twists by: -3 |