Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800kt |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-1821545349120000 = -1 · 217 · 33 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33900,3160400] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-1680:1] [-179:1869:1] |
Generators of the group modulo torsion |
j |
-1947910950/823543 |
j-invariant |
L |
11.445962434267 |
L(r)(E,1)/r! |
Ω |
0.44011535940492 |
Real period |
R |
0.15480197935763 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800bw1 25200s1 100800kr1 100800jf1 |
Quadratic twists by: -4 8 -3 5 |