Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200b |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-44108290800 = -1 · 24 · 38 · 52 · 75 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,632,7837] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:81:1] |
Generators of the group modulo torsion |
j |
69683121920/110270727 |
j-invariant |
L |
2.9372224158833 |
L(r)(E,1)/r! |
Ω |
0.7762053229075 |
Real period |
R |
0.9460197995297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8400z1 33600ci1 12600bu1 4200bf1 |
Quadratic twists by: -4 8 -3 5 |