Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200hg |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
7614259200000000 = 219 · 37 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73875,-6488750] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:576:1] |
Generators of the group modulo torsion |
j |
38226865/6528 |
j-invariant |
L |
6.8483480691844 |
L(r)(E,1)/r! |
Ω |
0.29295669580862 |
Real period |
R |
1.461041035903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650bg1 20400dp1 61200es1 |
Quadratic twists by: -4 -3 5 |