Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840bv |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-828701035315200 = -1 · 214 · 316 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19803,-1751798] |
[a1,a2,a3,a4,a6] |
Generators |
[221:2160:1] |
Generators of the group modulo torsion |
j |
-287626699801/277530300 |
j-invariant |
L |
3.2640537172521 |
L(r)(E,1)/r! |
Ω |
0.19361534771509 |
Real period |
R |
2.1073056421997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230bd1 11280bd1 |
Quadratic twists by: -4 -3 |