Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330br |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-3451394396160 = -1 · 212 · 36 · 5 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -3 -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55373,5029877] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-104:1] |
Generators of the group modulo torsion |
j |
-25756271299361161/4734423040 |
j-invariant |
L |
5.4946487356259 |
L(r)(E,1)/r! |
Ω |
0.76822392717155 |
Real period |
R |
0.89405063765978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4370a2 |
Quadratic twists by: -3 |