Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lo |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
1.74379078125E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3655200,1788379000] |
[a1,a2,a3,a4,a6] |
Generators |
[572495:6299775:343] |
Generators of the group modulo torsion |
j |
463030539649024/149501953125 |
j-invariant |
L |
7.5952664646663 |
L(r)(E,1)/r! |
Ω |
0.13766424765563 |
Real period |
R |
6.8965495765226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fc1 25200dv1 33600gb1 20160ed1 |
Quadratic twists by: -4 8 -3 5 |