Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210s |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
4.0713924755181E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-903443,122695931] |
[a1,a2,a3,a4,a6] |
Generators |
[76403253:9471746906:4913] |
Generators of the group modulo torsion |
j |
111865973128998779881/55849005151140600 |
j-invariant |
L |
8.8580583118433 |
L(r)(E,1)/r! |
Ω |
0.18060301528585 |
Real period |
R |
8.1745205064124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
14070e4 |
Quadratic twists by: -3 |