Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834p |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
7.9097421379609E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11340365,-5742509236] |
[a1,a2,a3,a4,a6] |
Generators |
[-2322:91003:1] |
Generators of the group modulo torsion |
j |
91043437096839199393/44648432303267628 |
j-invariant |
L |
6.7403490802082 |
L(r)(E,1)/r! |
Ω |
0.086473227968856 |
Real period |
R |
2.7838298455915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502cd2 3894p2 |
Quadratic twists by: -3 -11 |