Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4392b |
Isogeny class |
Conductor |
4392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-409826304 = -1 · 210 · 38 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 3 -5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,974] |
[a1,a2,a3,a4,a6] |
Generators |
[7:36:1] |
Generators of the group modulo torsion |
j |
-4/549 |
j-invariant |
L |
3.8171276162494 |
L(r)(E,1)/r! |
Ω |
1.3402619516425 |
Real period |
R |
0.71201148618216 |
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 |
8784c1 35136k1 1464e1 109800bv1 |
Quadratic twists by: -4 8 -3 5 |