Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cn |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
15045964583731200 = 216 · 33 · 52 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64496,2196180] |
[a1,a2,a3,a4,a6] |
j |
7243839850989169/3673331197200 |
j-invariant |
L |
4.1770949539716 |
L(r)(E,1)/r! |
Ω |
0.34809123532809 |
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 |
12390n1 |
Quadratic twists by: -4 |