Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
10712d |
Isogeny class |
Conductor |
10712 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
63024758992 = 24 · 135 · 1032 |
Discriminant |
Eigenvalues |
2- 0 0 0 -2 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123730,-16751763] |
[a1,a2,a3,a4,a6] |
j |
13092686478376704000/3939047437 |
j-invariant |
L |
1.2727725891273 |
L(r)(E,1)/r! |
Ω |
0.25455451782547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21424a1 85696j1 96408j1 |
Quadratic twists by: -4 8 -3 |