Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694k |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
-7190375861679859134 = -1 · 2 · 316 · 113 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4340261,-3484541133] |
[a1,a2,a3,a4,a6] |
Generators |
[32459175797:8308104650723:493039] |
Generators of the group modulo torsion |
j |
-1407450852604763/1119214746 |
j-invariant |
L |
5.9653269414122 |
L(r)(E,1)/r! |
Ω |
0.052296168775381 |
Real period |
R |
14.258518073843 |
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 |
122694ca1 9438s1 |
Quadratic twists by: -11 13 |