Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cf |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-6397093785600 = -1 · 212 · 32 · 52 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3320,-98000] |
[a1,a2,a3,a4,a6] |
Generators |
[60:560:1] |
Generators of the group modulo torsion |
j |
987750361079/1561790475 |
j-invariant |
L |
7.599073941006 |
L(r)(E,1)/r! |
Ω |
0.39707916407336 |
Real period |
R |
0.79739283735196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195g2 |
Quadratic twists by: -4 |