Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360ct |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-4173160000 = -1 · 26 · 54 · 172 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- -2 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,340,-1850] |
[a1,a2,a3,a4,a6] |
Generators |
[73:646:1] |
Generators of the group modulo torsion |
j |
67717750976/65205625 |
j-invariant |
L |
4.6386128884795 |
L(r)(E,1)/r! |
Ω |
0.75649115261535 |
Real period |
R |
1.5329369274978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360cm1 51680b2 |
Quadratic twists by: -4 8 |