Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3146f |
Isogeny class |
Conductor |
3146 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
482249176634368 = 210 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ 1 0 2 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-147381,21739584] |
[a1,a2,a3,a4,a6] |
Generators |
[-333:5990:1] |
Generators of the group modulo torsion |
j |
1651590939625/2249728 |
j-invariant |
L |
3.070032937012 |
L(r)(E,1)/r! |
Ω |
0.52378550482861 |
Real period |
R |
2.9306203672213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
25168bl1 100672n1 28314bz1 78650bw1 |
Quadratic twists by: -4 8 -3 5 |