Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pk |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-4900921200000000 = -1 · 210 · 36 · 58 · 75 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25500,-3715000] |
[a1,a2,a3,a4,a6] |
Generators |
[325:4725:1] |
Generators of the group modulo torsion |
j |
-6288640/16807 |
j-invariant |
L |
6.7509207146104 |
L(r)(E,1)/r! |
Ω |
0.17546989200376 |
Real period |
R |
1.28244616412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800ge1 25200ce1 11200dg1 100800li1 |
Quadratic twists by: -4 8 -3 5 |