Atkin-Lehner |
2+ 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35190c |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-17392925858940 = -1 · 22 · 39 · 5 · 174 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3714,219680] |
[a1,a2,a3,a4,a6] |
j |
-287888218227/883652180 |
j-invariant |
L |
2.4337608352242 |
L(r)(E,1)/r! |
Ω |
0.60844020880585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35190bd1 |
Quadratic twists by: -3 |