Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792d |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-21298742820864 = -1 · 232 · 32 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7457,335265] |
[a1,a2,a3,a4,a6] |
Generators |
[355:70056:125] |
Generators of the group modulo torsion |
j |
-174958262857/81248256 |
j-invariant |
L |
8.3915942473776 |
L(r)(E,1)/r! |
Ω |
0.63570306824999 |
Real period |
R |
6.6002467715601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105792bt1 3306e1 |
Quadratic twists by: -4 8 |