Atkin-Lehner |
2+ 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336g |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
176155459584 = 216 · 3 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 -3 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34945,2525953] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-164:1] [89:336:1] |
Generators of the group modulo torsion |
j |
72013072989316/2687919 |
j-invariant |
L |
10.345655160873 |
L(r)(E,1)/r! |
Ω |
0.95051715207831 |
Real period |
R |
0.90701985566516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336cf1 12792i1 |
Quadratic twists by: -4 8 |