Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gf |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-2.471093478252E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6082533,9517279437] |
[a1,a2,a3,a4,a6] |
Generators |
[24292855555996:18523343033826175:41781923] |
Generators of the group modulo torsion |
j |
-1376628736/1366875 |
j-invariant |
L |
5.0876707613971 |
L(r)(E,1)/r! |
Ω |
0.10887821182743 |
Real period |
R |
23.364044449321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3675m1 11760cj1 58800hz1 |
Quadratic twists by: -4 5 -7 |