Atkin-Lehner |
2+ 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650s |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2245678229550 = -1 · 2 · 3 · 52 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 -2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5961,190738] |
[a1,a2,a3,a4,a6] |
j |
-936777248024305/89827129182 |
j-invariant |
L |
1.6031317357681 |
L(r)(E,1)/r! |
Ω |
0.80156586817378 |
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 |
55650co1 |
Quadratic twists by: 5 |