Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bh |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10555776 |
Modular degree for the optimal curve |
Δ |
-1.8636712876044E+21 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 6 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2569870,-2612269437] |
[a1,a2,a3,a4,a6] |
Generators |
[5680389480372493584023170756077697736154:1330021882943860938590867032750883196526287:103521630065905501988908040116475336] |
Generators of the group modulo torsion |
j |
-1376628736/1366875 |
j-invariant |
L |
14.553178252094 |
L(r)(E,1)/r! |
Ω |
0.057319357134633 |
Real period |
R |
63.474099238026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215bu1 735b1 |
Quadratic twists by: -7 13 |