Atkin-Lehner |
2- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9620b |
Isogeny class |
Conductor |
9620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
34241428000000 = 28 · 56 · 132 · 373 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97981,-11834225] |
[a1,a2,a3,a4,a6] |
j |
406362648284422144/133755578125 |
j-invariant |
L |
3.2381990662323 |
L(r)(E,1)/r! |
Ω |
0.26984992218603 |
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 |
38480r2 86580l2 48100a2 125060f2 |
Quadratic twists by: -4 -3 5 13 |