Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978f |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.0482337894641E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 0 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254556,-1558432688] |
[a1,a2,a3,a4,a6] |
Generators |
[1179533932:-31047728561:778688] |
Generators of the group modulo torsion |
j |
-2502344836109555137/1437906432735338496 |
j-invariant |
L |
3.9971566741191 |
L(r)(E,1)/r! |
Ω |
0.069946244224513 |
Real period |
R |
9.5243538292278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824cb2 4326f2 90846bk2 |
Quadratic twists by: -4 -3 -7 |