Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800kr |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-1327906559508480000 = -1 · 217 · 39 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-305100,-85330800] |
[a1,a2,a3,a4,a6] |
j |
-1947910950/823543 |
j-invariant |
L |
2.7863569331604 |
L(r)(E,1)/r! |
Ω |
0.099512750942176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800bz1 25200t1 100800kt1 100800iy1 |
Quadratic twists by: -4 8 -3 5 |