Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120ci |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-104797593600 = -1 · 213 · 3 · 52 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-15660] |
[a1,a2,a3,a4,a6] |
Generators |
[90:840:1] |
Generators of the group modulo torsion |
j |
-148035889/25585350 |
j-invariant |
L |
8.0844300366306 |
L(r)(E,1)/r! |
Ω |
0.47189326748721 |
Real period |
R |
2.1414879657166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390p2 |
Quadratic twists by: -4 |