Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328d |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-431136432 = -1 · 24 · 39 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30,-1001] |
[a1,a2,a3,a4,a6] |
Generators |
[1938:30155:8] |
Generators of the group modulo torsion |
j |
-256000/36963 |
j-invariant |
L |
3.7946097962007 |
L(r)(E,1)/r! |
Ω |
0.74447846436976 |
Real period |
R |
5.0970041147034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2664b1 21312bo1 1776c1 |
Quadratic twists by: -4 8 -3 |