Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5390c |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-5968363041071200000 = -1 · 28 · 55 · 714 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-592370,211359700] |
[a1,a2,a3,a4,a6] |
j |
-195395722614328041/50730248800000 |
j-invariant |
L |
0.45523347332785 |
L(r)(E,1)/r! |
Ω |
0.22761673666393 |
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 |
43120bn1 48510eh1 26950cc1 770c1 |
Quadratic twists by: -4 -3 5 -7 |