Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800jk |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
1.5226632142848E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8198700,-9016254000] |
[a1,a2,a3,a4,a6] |
j |
551105805571803/1376829440 |
j-invariant |
L |
3.2124101177171 |
L(r)(E,1)/r! |
Ω |
0.089233619452505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800be1 25200cq1 100800jd1 20160db1 |
Quadratic twists by: -4 8 -3 5 |