Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952bn |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-846540431686656 = -1 · 210 · 310 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6909,1382290] |
[a1,a2,a3,a4,a6] |
j |
415292/9639 |
j-invariant |
L |
3.0019458672181 |
L(r)(E,1)/r! |
Ω |
0.37524313339312 |
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 |
59976bq1 39984q1 17136e1 |
Quadratic twists by: -4 -3 -7 |