Atkin-Lehner |
2+ 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010h |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5.6958997295007E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14845212,21707761104] |
[a1,a2,a3,a4,a6] |
Generators |
[33214:1406843:8] [-197:157021:1] |
Generators of the group modulo torsion |
j |
3075351278706579064249/48414348864000000 |
j-invariant |
L |
8.0247214610376 |
L(r)(E,1)/r! |
Ω |
0.13536103446427 |
Real period |
R |
1.646773240232 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430m3 |
Quadratic twists by: -7 |