Atkin-Lehner |
2+ 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336t |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108544 |
Modular degree for the optimal curve |
Δ |
104792064 = 216 · 3 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 -3 13- -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9217,343681] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-16:1] |
Generators of the group modulo torsion |
j |
1321477161988/1599 |
j-invariant |
L |
2.5936259614899 |
L(r)(E,1)/r! |
Ω |
1.5922568168154 |
Real period |
R |
0.40722481763766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336ct1 12792f1 |
Quadratic twists by: -4 8 |