Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
364b |
Isogeny class |
Conductor |
364 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
24 |
Modular degree for the optimal curve |
Δ |
-23296 = -1 · 28 · 7 · 13 |
Discriminant |
Eigenvalues |
2- -2 1 7+ -4 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
-65536/91 |
j-invariant |
L |
1.3982710251164 |
L(r)(E,1)/r! |
Ω |
3.4220544534268 |
Real period |
R |
0.13620190679279 |
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 |
1456m1 5824d1 3276h1 9100g1 |
Quadratic twists by: -4 8 -3 5 |