Atkin-Lehner |
2+ 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350g |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1368000 |
Modular degree for the optimal curve |
Δ |
-1078786139344076800 = -1 · 219 · 52 · 73 · 132 · 175 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 5 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-638807,-202612579] |
[a1,a2,a3,a4,a6] |
j |
-1153169335290331325745/43151445573763072 |
j-invariant |
L |
1.5165155177136 |
L(r)(E,1)/r! |
Ω |
0.084250860095893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77350bn1 |
Quadratic twists by: 5 |