Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120ch |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4491325440000 = -1 · 215 · 32 · 54 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3304,-69996] |
[a1,a2,a3,a4,a6] |
Generators |
[1612:64782:1] |
Generators of the group modulo torsion |
j |
973536925031/1096515000 |
j-invariant |
L |
6.8868756156202 |
L(r)(E,1)/r! |
Ω |
0.41773369668811 |
Real period |
R |
4.1215705494346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390d2 |
Quadratic twists by: -4 |