Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920r |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
118210688000 = 210 · 53 · 314 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1448,13272] |
[a1,a2,a3,a4,a6] |
j |
327890958336/115440125 |
j-invariant |
L |
0.96286951987009 |
L(r)(E,1)/r! |
Ω |
0.96286951987009 |
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 |
9920f1 2480e1 89280fa1 49600bk1 |
Quadratic twists by: -4 8 -3 5 |