Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102752d |
Isogeny class |
Conductor |
102752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-46955197952 = -1 · 29 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ -3 0 -1 2 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,845,-4394] |
[a1,a2,a3,a4,a6] |
Generators |
[17:122:1] |
Generators of the group modulo torsion |
j |
27000/19 |
j-invariant |
L |
3.7837210255735 |
L(r)(E,1)/r! |
Ω |
0.63916401819528 |
Real period |
R |
2.9598983353775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102752g1 608f1 |
Quadratic twists by: -4 13 |