Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042t |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.0200232377966E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18779079,-30575019915] |
[a1,a2,a3,a4,a6] |
Generators |
[210726230:-65300388395:2197] |
Generators of the group modulo torsion |
j |
6225272619854317474537/171699142176866304 |
j-invariant |
L |
4.17917853881 |
L(r)(E,1)/r! |
Ω |
0.072646143296702 |
Real period |
R |
7.1909848705674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126126ew2 6006m2 |
Quadratic twists by: -3 -7 |