Atkin-Lehner |
2- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656u |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-243047468105728 = -1 · 225 · 11 · 13 · 373 |
Discriminant |
Eigenvalues |
2- -2 -2 3 11+ 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208384,-36691020] |
[a1,a2,a3,a4,a6] |
j |
-244319965770456577/59337760768 |
j-invariant |
L |
1.3406894827967 |
L(r)(E,1)/r! |
Ω |
0.11172412580201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582n1 |
Quadratic twists by: -4 |