Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800oy |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2041200000000 = -1 · 210 · 36 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-65000] |
[a1,a2,a3,a4,a6] |
j |
1280/7 |
j-invariant |
L |
2.4909915666176 |
L(r)(E,1)/r! |
Ω |
0.41516527875839 |
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 |
100800ia1 25200fc1 11200cz1 100800nr1 |
Quadratic twists by: -4 8 -3 5 |