Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608j |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1243267790831616 = -1 · 215 · 3 · 118 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11969,1773729] |
[a1,a2,a3,a4,a6] |
j |
-5787402166664/37941521937 |
j-invariant |
L |
1.6707858104162 |
L(r)(E,1)/r! |
Ω |
0.41769670437834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608bq3 62304l2 |
Quadratic twists by: -4 8 |