Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800kv |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
282175488000000000 = 220 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175500,-12150000] |
[a1,a2,a3,a4,a6] |
j |
59319/28 |
j-invariant |
L |
3.9081642872454 |
L(r)(E,1)/r! |
Ω |
0.24426028372435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800cd1 25200dp1 100800kw1 100800kj1 |
Quadratic twists by: -4 8 -3 5 |