Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5160g |
Isogeny class |
Conductor |
5160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
267494400 = 210 · 35 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3496,-78404] |
[a1,a2,a3,a4,a6] |
j |
4615962240676/261225 |
j-invariant |
L |
0.6208659201391 |
L(r)(E,1)/r! |
Ω |
0.6208659201391 |
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 |
10320m1 41280bt1 15480e1 25800p1 |
Quadratic twists by: -4 8 -3 5 |