Atkin-Lehner |
2- 3- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7998h |
Isogeny class |
Conductor |
7998 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1712 |
Modular degree for the optimal curve |
Δ |
-343914 = -1 · 2 · 3 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 -5 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49,131] |
[a1,a2,a3,a4,a6] |
j |
-13027640977/343914 |
j-invariant |
L |
6.056251285878 |
L(r)(E,1)/r! |
Ω |
3.028125642939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984t1 23994h1 |
Quadratic twists by: -4 -3 |