Atkin-Lehner |
2- 3+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
31518l |
Isogeny class |
Conductor |
31518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-2343615444 = -1 · 22 · 39 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 0 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56,-2321] |
[a1,a2,a3,a4,a6] |
j |
-970299/119068 |
j-invariant |
L |
5.1629634129609 |
L(r)(E,1)/r! |
Ω |
0.6453704266201 |
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 |
31518b1 |
Quadratic twists by: -3 |