Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ee |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-4.801392288E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20570208,35917638912] |
[a1,a2,a3,a4,a6] |
Generators |
[11333:1121714:1] |
Generators of the group modulo torsion |
j |
-24064663400038825/1200348072 |
j-invariant |
L |
6.1036138731796 |
L(r)(E,1)/r! |
Ω |
0.1897018243006 |
Real period |
R |
8.0436942214842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550ch1 92400ht1 |
Quadratic twists by: -4 5 |