Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bz |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-19779717888 = -1 · 28 · 37 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,17372] |
[a1,a2,a3,a4,a6] |
Generators |
[34:126:1] [-22:182:1] |
Generators of the group modulo torsion |
j |
-1024000000/105987 |
j-invariant |
L |
11.844234992437 |
L(r)(E,1)/r! |
Ω |
1.1869978904737 |
Real period |
R |
0.4157629894362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25956h1 34608q1 |
Quadratic twists by: -4 -3 |