Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200f |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-130680000000000 = -1 · 212 · 33 · 510 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11+ 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315000,-68050000] |
[a1,a2,a3,a4,a6] |
Generators |
[724:9132:1] |
Generators of the group modulo torsion |
j |
-3200601600/121 |
j-invariant |
L |
4.3251703954789 |
L(r)(E,1)/r! |
Ω |
0.10076064420698 |
Real period |
R |
5.3656494913091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200l1 79200cv1 79200cz1 |
Quadratic twists by: -4 -3 5 |