Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042p |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-192673375365062592 = -1 · 26 · 32 · 712 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-109785,25292709] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:6367:1] |
Generators of the group modulo torsion |
j |
-1243857621903625/1637696668608 |
j-invariant |
L |
3.7916339932182 |
L(r)(E,1)/r! |
Ω |
0.28745967832475 |
Real period |
R |
3.297535514647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126er3 6006r3 |
Quadratic twists by: -3 -7 |