Atkin-Lehner |
2+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
39326d |
Isogeny class |
Conductor |
39326 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
629640 |
Modular degree for the optimal curve |
Δ |
-13946170652144864 = -1 · 25 · 7 · 538 |
Discriminant |
Eigenvalues |
2+ -3 -1 7+ 6 1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9305,5668957] |
[a1,a2,a3,a4,a6] |
j |
1431/224 |
j-invariant |
L |
0.91643664252434 |
L(r)(E,1)/r! |
Ω |
0.30547888080463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39326i1 |
Quadratic twists by: 53 |