Atkin-Lehner |
2+ 3+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
31518b |
Isogeny class |
Conductor |
31518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
-3214836 = -1 · 22 · 33 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 0 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6,88] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] [-3:10:1] |
Generators of the group modulo torsion |
j |
-970299/119068 |
j-invariant |
L |
5.0768707801357 |
L(r)(E,1)/r! |
Ω |
2.0660518020243 |
Real period |
R |
0.30716018199301 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31518l1 |
Quadratic twists by: -3 |