Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286c |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4612608 |
Modular degree for the optimal curve |
Δ |
-3.9021913947928E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 11- -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13353562,21044264212] |
[a1,a2,a3,a4,a6] |
Generators |
[97092:30184030:1] |
Generators of the group modulo torsion |
j |
-1228495763619656521/182040108466176 |
j-invariant |
L |
4.623585185904 |
L(r)(E,1)/r! |
Ω |
0.1111869508252 |
Real period |
R |
1.7326618035366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286x1 |
Quadratic twists by: -11 |