Atkin-Lehner |
2+ 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
105152f |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-834486272 = -1 · 214 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 2 1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1553,23087] |
[a1,a2,a3,a4,a6] |
Generators |
[23:8:1] [26:31:1] |
Generators of the group modulo torsion |
j |
-25298674000/50933 |
j-invariant |
L |
12.239810149682 |
L(r)(E,1)/r! |
Ω |
1.5874272746671 |
Real period |
R |
0.96380873199405 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152v1 6572a1 |
Quadratic twists by: -4 8 |