Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300cp |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1318051003012128000 = -1 · 28 · 310 · 53 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-295095,-82813250] |
[a1,a2,a3,a4,a6] |
j |
-121823692387472/56500814601 |
j-invariant |
L |
3.205907370236 |
L(r)(E,1)/r! |
Ω |
0.1001846052741 |
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 |
23100bh2 69300cj2 |
Quadratic twists by: -3 5 |