Atkin-Lehner |
2- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7004a |
Isogeny class |
Conductor |
7004 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-28016 = -1 · 24 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 0 1 -2 -3 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37,-87] |
[a1,a2,a3,a4,a6] |
j |
-350113536/1751 |
j-invariant |
L |
0.96758520275465 |
L(r)(E,1)/r! |
Ω |
0.96758520275465 |
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 |
28016e1 112064a1 63036h1 119068a1 |
Quadratic twists by: -4 8 -3 17 |