Atkin-Lehner |
2- 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216r |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
120471552 = 214 · 32 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2440,-45584] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1104:1] |
Generators of the group modulo torsion |
j |
392383937161/29412 |
j-invariant |
L |
4.3992525547203 |
L(r)(E,1)/r! |
Ω |
0.67926497240991 |
Real period |
R |
3.2382448185937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902g1 117648bk1 |
Quadratic twists by: -4 -3 |