Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400k |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
1.6881986902892E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9697783,-9796740188] |
[a1,a2,a3,a4,a6] |
Generators |
[-24124723578273:-13107685239779:10260751717] |
Generators of the group modulo torsion |
j |
83587439220736/13990184325 |
j-invariant |
L |
7.0360352563277 |
L(r)(E,1)/r! |
Ω |
0.086525880704927 |
Real period |
R |
20.329279492869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280y1 7800n1 |
Quadratic twists by: 5 13 |