Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800jw |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
1102248000000000 = 212 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-785700,-268056000] |
[a1,a2,a3,a4,a6] |
Generators |
[20606822:1301950936:4913] |
Generators of the group modulo torsion |
j |
42581671488/875 |
j-invariant |
L |
8.3919700070453 |
L(r)(E,1)/r! |
Ω |
0.16035625380966 |
Real period |
R |
13.083322011812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jh1 50400co1 100800jy1 20160cu1 |
Quadratic twists by: -4 8 -3 5 |