Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39039o |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7385749371 = 34 · 73 · 112 · 133 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23754,-1419075] |
[a1,a2,a3,a4,a6] |
j |
674733819141829/3361743 |
j-invariant |
L |
2.3073547230861 |
L(r)(E,1)/r! |
Ω |
0.38455912052105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117117bl2 39039c2 |
Quadratic twists by: -3 13 |