Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824n |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-16989910704 = -1 · 24 · 37 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-354,6775] |
[a1,a2,a3,a4,a6] |
Generators |
[27:130:1] |
Generators of the group modulo torsion |
j |
-420616192/1456611 |
j-invariant |
L |
7.4137197680501 |
L(r)(E,1)/r! |
Ω |
1.0803485460192 |
Real period |
R |
1.7155851681774 |
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 |
15912h1 127296ci1 10608l1 |
Quadratic twists by: -4 8 -3 |