Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10032n |
Isogeny class |
Conductor |
10032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
260353032192 = 222 · 33 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20520,-1137996] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:6:1] |
Generators of the group modulo torsion |
j |
233301213501481/63562752 |
j-invariant |
L |
4.0630939530501 |
L(r)(E,1)/r! |
Ω |
0.39889680012644 |
Real period |
R |
1.6976378985585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1254c1 40128bp1 30096bi1 110352cq1 |
Quadratic twists by: -4 8 -3 -11 |