Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450g |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-99030093750 = -1 · 2 · 39 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3417,-77509] |
[a1,a2,a3,a4,a6] |
j |
-14348907/322 |
j-invariant |
L |
0.62359944001911 |
L(r)(E,1)/r! |
Ω |
0.31179973156337 |
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 |
72450ct1 2898k1 |
Quadratic twists by: -3 5 |