Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cd |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-10925482176000000 = -1 · 212 · 310 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65840,-8198400] |
[a1,a2,a3,a4,a6] |
Generators |
[480:8400:1] |
Generators of the group modulo torsion |
j |
-7706192030051761/2667354046875 |
j-invariant |
L |
6.8521271522319 |
L(r)(E,1)/r! |
Ω |
0.14646418405395 |
Real period |
R |
1.9493181866715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195h2 |
Quadratic twists by: -4 |