Atkin-Lehner |
3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2331d |
Isogeny class |
Conductor |
2331 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-1699299 = -1 · 38 · 7 · 37 |
Discriminant |
Eigenvalues |
2 3- -1 7+ 3 -5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[34:5:8] |
Generators of the group modulo torsion |
j |
-4096/2331 |
j-invariant |
L |
5.3820784078976 |
L(r)(E,1)/r! |
Ω |
1.1946819140291 |
Real period |
R |
2.252515227985 |
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 |
37296cj1 777f1 58275x1 16317n1 |
Quadratic twists by: -4 -3 5 -7 |