Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bq |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[68622:1113805:216] |
Generators of the group modulo torsion |
j |
-5787402166664/37941521937 |
j-invariant |
L |
4.8680564417436 |
L(r)(E,1)/r! |
Ω |
0.20321873952525 |
Real period |
R |
5.9886905510926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997143508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608j3 62304t2 |
Quadratic twists by: -4 8 |