Atkin-Lehner |
2+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52030q |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
840000 |
Modular degree for the optimal curve |
Δ |
-7800537395200000 = -1 · 215 · 55 · 116 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 11- 5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-171218,-27612444] |
[a1,a2,a3,a4,a6] |
j |
-313337384670961/4403200000 |
j-invariant |
L |
1.1725180698743 |
L(r)(E,1)/r! |
Ω |
0.11725180706756 |
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 |
430d1 |
Quadratic twists by: -11 |